### Solving InequalitiesThe inequality presented is:\[\frac{5}{4}x - 2 \leq \frac{3}{2}x + \frac{1}{3}\]This inequality involves fractions and requires solving for $x$. To solve this inequality, follow these steps:1. **Clear Fractions**: Multiply every term by the least common multiple (LCM) of the denominators to clear the fractions.2. **Combine Like Terms**: Bring all terms involving $x$ to one side and constant terms to the other.3. **Isolate $x$**: Simplify the inequality to solve for $x$.It is important to maintain the inequality direction when multiplying or dividing by positive numbers. If multiplying or dividing by a negative number, reverse the inequality sign.This process is a fundamental algebra skill that helps in understanding how to manipulate and solve inequality equations.

Answered: Image /qna-images/answer/6fcaea22-7f14-472b-adcd-22faacb1fbf2.jpg

Answered: Solving Inegualities

Math

Algebra

Solving Inegualities

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

response surface methodology or RSM is a collection of mathematical and statistical techniques that are useful for modelling and analysis response surface methodology or RSM is a collection of mathematical and statistical techniques that are useful for modeling and analysis in applications in which a response of interest is influenced by several variables and thee objective is to ____ this response visualize optimize maximize none minimize
! Required information The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The company's cost analyst has concluded that utilities cost is a mixed cost, and he is attempting to find a base that correlates with the cost. The controller has suggested that tons mined might be a good base to use in developing a cost formula. The production superintendent disagrees; she thinks that direct labor-hours would be a better base. The cost analyst has decided to try both bases and has assembled the following information: Quarter Year 1: First Second Third Fourth Year 2: First Second Third Fourth |Y= $140,000 $120,000 $100,000 69 $80,000 2-a. Using direct labor-hours as the independent variable, prepare a scattergraph that plots direct labor-hours on the horizontal axis and utilities cost on the vertical axis. $60,000 Instructions: 1. On the graph below, use the point tool (Year 1-1st quarter) to plot direct labor-hours on the horizontal…
Regression Analysis Alumni donations are an important source of revenue for colleges and universities in the USA. If administrators could determine the factors that could lead to increases in the percentage of alumni who make a donation, they might be able to implement policies that could lead to increased revenues. Research shows that students who are more satisfied with their contact with teachers are more likely to graduate. As a result, one might suspect that smaller class sizes and lower student/faculty ratios might lead to a higher percentage of alumni who make a donation. The following table (1) shows data for 48 national universities. The graduation rate column is the percentage of students who initially enrolled at the university and graduated. The % of classes under 20 column shows the percentages of classes with fewer than 20 students that are offered. The student/faculty ratio column is the number of students enrolled divided by the total number of faculty. Finally, the…
Statistics and Probability Balanced incomplete blocks Incompleteness necessary if blocks are too small to allow us to run all treatment levels in a block. What does 'Balance' mean? What is the effects model? Model assumptions? Constraints? How to test the effect of the factor?
Struggling with data: quick note - 1 for Atlantic, 2 for Central and 3 for West
Please do not give solution in image format thanku Results of a recent study reveal insights on perceptions and attitudes toward online shopping. The study results show that 29% of consumers indicate that on-site recommendations would drive them to add more items to their cart and that 41% would spend more time on the website. But shopper priorities change the moment they need help; they expect to get it immediately and effortlessly. If forced to stop what they're doing and leave the website to get help, 1 out of 5 shoppers would likely not make a purchase with the brand at all. The research is based on an online survey with a sample of 1,500 U.S. adults who have made purchases via a website. Describe possible parameters of interest.
Exersise 2 (Maximization Models) A ship has three cargo holds, forward, aft and center. The capacity limits are: • Forward 2000 tons, 100,000 cubic meters • Center 3000 tons, 135,000 cubic meters • Aft 1500 tons, 30,000 cubic meters. • The following cargoes are offered, the ship owners may accept all or any part of each commodity: Commodity A B C Amount in tons. 6000 4000 2000 Volume/ton in cubic meters 60 50 25 Profit per ton in Rs. 60 80 50 In order to preserve the trim of the ship the weight in each hold must be proportional to the capacity in tons. How should the cargo be distributed so as to maximize profit? Formulate this as linear programming problem.
Types of Compensation People don't work for free, and how much employees are paid for their work is a complicated issue. Also, designing a fair compensation plan is an important task because pay and benefits represent a substantial portion of an organization's expenses. Wages that are too high may result in the company's products being priced too high, making them uncompetitive in the market. Wages that are too low may damage employee morale and result in costly turnover. Financial compensation falls into two categories: wages and salaries. Additionally, there are three common types of financial incentives: commission, bonuses, and profit sharing. Read the statements describing compensation attributes and the various employee examples and select the most appropriate form of compensation each describes. 1.Paid by the Hour-Employees receive these financial rewards in return for the number of hours they have worked. Wages 2. Frank's Overtime Pay-Frank works overtime at the factory right…
Cost of Transporting Goods A trucking company transportsgoods between Chicago and New York, a distance of 960 miles.The company’s policy is to charge, for each pound, $0.50 permile for the first 100 miles, $0.40 per mile for the next 300 miles,$0.25 per mile for the next 400 miles, and no charge for theremaining 160 miles.(a) Graph the relationship between the cost of transportationin dollars and mileage over the entire 960-mile route.(b) Find the cost as a function of mileage for hauls between100 and 400 miles from Chicago.(c) Find the cost as a function of mileage for hauls between400 and 800 miles from Chicago.
8 Schoology + epiccharterschools.schoology.com/common-assessment-delivery/start/5316764786?action=onresumeE O Updat YouTube Maps O Epic Charter School.. Video Conferencing... O Login - EPIC 03. Linear Equations Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 O 98
Fill in the blanks
The following decision table organizes a decision that Gregory Davis needs to make regarding his home tailoring business. He has been providing tailoring services for over 6 years and it has been very successful. Gregory now needs to decide whether or not to expand his business to accommodate more customers and if he expands, whether to expand with a small or a medium shop. His decision will be heavily based on whether the demand is high or low for tailoring services. Select the correct decision tree based on the given decision table. Alternatives Small shop Medium shop Do not expand Decision Table State of Nature High Demand 1000 1400 0 Low Demand - 600 - 1500 0