Question

5.1(3+2.2x)>-14.25-6(1.7x+4)

Answer 1

(- 2.5, ∞ )

distribute parenthesis on both sides of inequality and simplify

15.3 + 11.2x > - 14.25 - 10.2x - 24

15.3 + 11.2x > - 38.25 - 10.2x ( add 10.2x to both sides )

15.3 + 21.42x > - 38.25 ( subtract 15.3 from both sides )

21.42x > - 53.55 ( divide both sides by 21.42 )

x > - 2.5

solution x ∈ (- 2.5, ∞ )

Answer 2

(-2.5, ∞)

Explanation:

You can add the opposite of the right side.

5.1(3 +2.2x) +14.25 +6(1.7x +4) > 0

15.3 +11.22x +14.25 + 10.2x +24 > 0 . . . eliminate parentheses

21.42x +53.55 > 0 . . . . . . . . . . . . . . . . . . collect terms

x + 2.5 > 0 . . . . . . . . . . . . . . . . . . . . . . . . .divide by the coefficient of x

x > -2.5 . . . . . . add the opposite of the constant