Question

Write an inequality that models the solution for 3x + 4.5 ≤ 5(x - 2)

Answer 1

Answer:

x ≤ 7.25

Step-by-step explanation:

1) $3x + 4.5$ ≤ $5(x - 2)$

Distribute 5 through the parenthesis.

2)  $3x + 4.5$ ≤ $5x - 10$

Move the variable to the left side and change it's sign.

3)  $3x + 4.5 - 5x$ ≤ $- 10$

Move the constant to the right side and change it's sign.

4)  $3x - 5x$ ≤ $- 10- 4.5$

Subtract the like terms.

5) $-2x$ ≤ $-14.5$

Divide both sides of the inequality by -2.

6) $x$ ≤ $7.25$