which represents the solution set to the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4)?\no x < -2.5\no x >…
which represents the solution set to the inequality 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4)?\no x < -2.5\no x > 2.5\no (-2.5, ∞)\no (-∞, 2.5)
Answer
Answer:
C. $(-2.5,\infty)$
Explanation:
Step1: Expand both sides
$5.1(3 + 2.2x)=15.3+11.22x$, $-14.25-6(1.7x + 4)=-14.25-10.2x-24=-38.25-10.2x$.
Step2: Set up new - inequality
$15.3 + 11.22x>-38.25-10.2x$.
Step3: Move x - terms to one side
$11.22x+10.2x>-38.25 - 15.3$.
Step4: Combine like - terms
$21.42x>-53.55$.
Step5: Solve for x
$x>\frac{-53.55}{21.42}=-2.5$. The solution in interval notation is $(-2.5,\infty)$.