Question

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

Answer 1

x ≤ 7.25

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`