To solve the inequality, we multiply both sides by 3/2 (the reciprocal of 2/3) to isolate x. This step is valid because we are multiplying by a positive number and we know that 3/2 is positive.
(2/3)x * (3/2) ≤ 5 * (3/2)
The left side simplifies to:
(1/1)(x) = x
The right side simplifies to:
(15/2)
So the inequality becomes:
x ≤ 15/2
The solution is x can be any number less than or equal to 15/2.
Solve the inequality 2/3 x ≤ 5
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