Question

Which represents the solution set to the inequality

Answer 1

$5.1(3 + 2.2x) \ \textgreater \ -14.25 - 6(1.7x + 4)$
Lets expand both multiplications first.
$15.3 + 11.22x \ \textgreater \ -14.25 - 10.2x - 24$
Simplify down the right side.
$15.3 + 11.22x \ \textgreater \ -38.25 - 10.2x$
Add 38.25 to both sides.
$53.55 + 11.22x \ \textgreater \ -10.2x$
Subtract 11.22x from both sides.
$53.55 \ \textgreater \ -21.42x$
Divide by -21.42 on both sides. Because we're dividing by a negative, we need to change the inequality direction.
$-2.5 \ \textless \ x$
This means, out of the options available, (-2.5, ∞) is the correct answer.