Chapter A.9, Problem 60AYU

To determine

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

Answer to Problem 60AYU

$\left\{x\right|x \ge 5\}$ or $[5,\infty )$

Explanation of Solution

Given:

$2x-2 \ge 3 + x$

Calculation:

$2x-2 \ge 3 + x$

$2x-2 + 2 \ge 3 + x + 2$   -----(Add 2 on both sides)

$2x \ge 5 + x$

$2x-x \ge 5 + x-x$   -----(Subtract $x$ on both sides)

$x \ge 5$

The solution set is $\left\{x\right|x \ge 5\}$ or using interval notation, all numbers in the interval $[5,\infty )$