Chapter A.9, Problem 57AYU

To determine

To solve: Each inequality. Express your answer using set notation or interval notation. Graph the solution set.

Answer to Problem 57AYU

$\left\{x\right|x > 3\}$ or $(3,\infty )$

Explanation of Solution

Given:

$3x-7 > 2$

Calculation:

$3x-7 > 2$

$3x-7 + 7 > 2÷7$ (Add $7$ on both sides)

$3x > 9$

$\frac{3x}{3} > \frac{9}{3}$   -----(Divide $3$ on both sides)

$x > 3$

The solution set is $(x|x > 3)$ or using interval notation, all numbers in the interval $(3,\infty )$