Solve 2/3x less than equals to 5

Answer 1

To solve the inequality (2/3)x ≤ 5, we need to isolate the variable x.

First, we will divide both sides of the inequality by 2/3:

(2/3)x ÷ (2/3) ≤ 5 ÷ (2/3)

The division by 2/3 is the same as multiplying by the reciprocal, which is 3/2:

(2/3)x * (3/2) ≤ 5 * (3/2)

Simplifying:

(2/3)(3/2)x ≤ (15/2)

Multiplying the fractions and simplifying:

(6/6)x ≤ (15/2)

The fractions on the left side cancel out:

x ≤ (15/2)

So, the solution to the inequality is x ≤ 15/2.