Question

Solve the inequality. Write the solution set in interval notation and graph it4x + 3 ≥ 3x + 4The solution set in interval notation is_______(Type your answer in interval notation.

Answer 1

SOLUTION

The inequality given is,

$4x+3\ge 3x+4$

Evaluate for x

$\begin{gathered} 4x+3-3\ge \:3x+4-3 \\ 4x\ge \:3x+1 \\ \mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides} \\ 4x-3x\ge \:3x+1-3x \\ x\ge \:1 \end{gathered}$

Hence, the solution set in the inetrval notation is

$\:[1,\:\infty \:)$

The graph of the inequality is