Question

1. which is the solution to the inequality 1.25x + 0.85 - 2.45x < 8.65? a {x | x > -9.36} b {x | x < -9.36} c {x | x < -6.5} d {x | x > -6.5}

Explanation:

Step1: Combine like terms

$1.25x - 2.45x + 0.85 < 8.65$
$-1.2x + 0.85 < 8.65$

Step2: Subtract 0.85 from both sides

$-1.2x < 8.65 - 0.85$
$-1.2x < 7.8$

Step3: Divide by -1.2, reverse inequality

$x > \frac{7.8}{-1.2}$
$x > -6.5$

Answer:

D. $\{x | x > -6.5\}$