Chapter A1, Problem 1CP

To determine

To calculate: The solution set of the inequality $2x-3<7$.

Answer to Problem 1CP

Solution:

The solution set of the inequality $2x-3<7$ is $\underset{\_}{\left(-\infty ,5\right)}$.

Explanation of Solution

Given Information:

The provided inequality is $2x-3<7$.

Calculation:

Consider the provided inequality,

$2x-3<7$

Add 3 on both side

$\begin{array}{c}2x-3+3<7+3\\ 2x<10\end{array}$

Divided by 2 on both side

$x<5$

So, the interval will be $\left(-\infty ,5\right)$.

The solution set of the inequality $2x-3<7$ is $\left(-\infty ,5\right)$.