Home > Student Resources > Solutions Set of Linear Inequalities

Solutions Set of Linear Inequalities

See the video for a full explanation for the example below

Find the solution set of linear inequalities when possible numbers are given for the variable

Which of the following are in the solution set of 3x-6>5? {1,2,3,4,5}?

3x-6>5

+6 +6

$\frac{3x}{3}>\frac{11}{3}$

$x>\frac{11}{3}$

$x>3 \frac{2}{3}$

{4,5}

Test 4: 3(4)-6>5

Test 5: 3(5)-6>5

Test 1: 3(1)-6 >5