Question

1. which is the solution to the inequa\\(1.25x + 0.85 - 2.45x < 8.65\\)?\

\\(\boldsymbol{\text{a}}\\) \\(\\{x \mid x > -9.36\\}\\)\
\\(\boldsymbol{\text{b}}\\) \\(\\{x \mid x < -9.36\\}\\)\
\\(\boldsymbol{\text{c}}\\) \\(\\{x \mid x < -6.5\\}\\)\
\\(\boldsymbol{\text{d}}\\) \\(\\{x \mid x > -6.5\\}\\)\
\

1. bill is building boxes of differen sizes. the supplies are limit

Explanation:

Step1: Combine like x 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, flip inequality

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

Answer:

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