Solve the following inequalities. Show work. Write the answers in interval notation or set notation. 1. 3. 5. X 2 (x-1) X X²-6 ≤0 +1 <0 21 2. 4. 2 x-1 +323 5 3 + X-2 2-X IV

Q: Part I. Write the interval notation for each inequalities. 1. x x 2 -5 Part 2. Find the solution set…

A: Solve the inequality

Q: 20. The stratosphere is the layer of the Earth's atmosphere that is more than 10 kilometers (km) and…

A: We have to solve

Q: 2x2<-X+21

A: To solve the given inequality, add  x-21 on both sides of the inequality 2x2&lt;-x+21, and then…

Q: 7. Solve the inequality x(x + 3)²(x + 1)(x – 2)² > 0. Graph the solution set and write it in…

A: The inequality is given as, xx+32x+1x-22≥0 Since the square of any real number can never be…

Q: 2 (2x + 5)² > 9

A: To solve the following inequality.

Q: 9. Solve the following inequalities. Then use technology to graph the situation so that you can…

A: Given inequalities  32x&lt;9x+3 83x+5≤32x+7

Q: 1. Solve each inequality. Graph your answer, then express it using interval notation -2(x – 1) +<1-x

A: The given inequality is  -2(x-1)+x2≤1-x

Q: Use the graph of the polynomial to solve the inequality P(x) >0. The solution set for P(x) >0 is…

A: Given query is to find the solution set for which P(x) &gt; 0.

Q: 7. Bungee Jumping. A bungee jumper is bouncing up and down so that her distance d above a river…

A:

Q: VII) Solve the rational inequality. Express your answer using interval notation. 4x 1. x²-4 I- -3 2.…

A: 1.xϵ⟨−2,0]∪⟨2,∞⟩ 2.xϵ⟨−2,3] 3.xϵ⟨2,4⟩   Explanation:

Q: 2a.

A: Multiply the given inequality with 7, then subtract -6 from it.

Q: 4. Find the solution set of the inequalities. Present the solution sets graphically on a number line…

A: We are entitled  to solve only one ques at a time and up to 3 subparts only. To find - The solution…

Q: Q1/ Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: We know  |f(x)|={f(x)     if f(x)≥0-f(x)  if f(x)&lt;0 I will do the first one (A) as it is…