Chapter A.9, Problem 59AYU

To determine

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

Answer to Problem 59AYU

$\left\{x\right|x \ge 2\}$ or $[2,\infty )$

Explanation of Solution

Given:

$3x-1 \ge 3 + x$

Calculation:

$3x-1 \ge 3 + x$

$3x-1 + 1 \ge 3 + x + 1$   -----(Add $1$ on both sides)

$3x \ge 4 + x$

$3x-x \ge 4 + x-x$   -----(Subtract $x$ on both sides)

$2x \ge 4$

$\frac{2x}{2} \ge \frac{4}{2}$

$x \ge 2$

The solution set is $\left\{x\right|x \ge 2\}$ or using interval notation, all numbers in the interval $[2,\infty )$