Simplify the inequality: First, we need to simplify the inequality by dividing all parts of the inequality by 8 to isolate the term with x. 56 < 8(x+4) < 120 56/8 < 8(x+4)/8 < 120/8 7 < x+4 < 15Subtract to solve for x: Next, we subtract 4 from all parts of the inequality to solve for x. 7 < x+4 < 15 7-4 < x+4-4 < 15-4 3 < x < 11Isolate x and find range: We have now isolated x and found the range of values that satisfy the original inequality.

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56<8(x+4)<120

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Algebra 1

Solve advanced linear inequalities

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56<8(x+4)<120

Simplify the inequality: First, we need to simplify the inequality by dividing all parts of the inequality by $8$ to isolate the term with $x$ . $\newline$ 56 < 8(x+4) < 120 $\newline$ \frac{56}{8} < \frac{8(x+4)}{8} < \frac{120}{8} $\newline$ 7 < x+4 < 15
Subtract to solve for x: Next, we subtract $4$ from all parts of the inequality to solve for $x$ . $\newline$ 7 < x+4 < 15 $\newline$ 7-4 < x+4-4 < 15-4 $\newline$ 3 < x < 11
Isolate $x$ and find range: We have now isolated $x$ and found the range of values that satisfy the original inequality.