Question

Solve the inequality.

3/4x−2/3≤5/6


and then graphed on a number line

Answer 1

x ≤ 2

Explanation:

¾x - ⅔ ≤ ⅚

¾x ≤ ⅚ + ⅔

¾x ≤ [5 + 2(2)]/6

¾x ≤ 9/6

x ≤ 9/6 × 4/3

x ≤ 2

Number line going towards left from 2 with a closed circle at 2

Answer 2

x ≤ 2

Explanation:

3/4x−2/3≤5/6

Multiply each side by 12 to get rid of the fractions

12(3/4x−2/3)≤5/6*12

9x - 8 ≤ 10

Add 8 to each side

9x -8+8 ≤ 10+8

9x ≤ 18

Divide each side by 9

9x/9 ≤ 18/9

x ≤ 2