Solve for q. 1 < q - 15/-18 ______

Multiply to Simplify: First, we need to simplify the inequality by multiplying both sides by -18 to get rid of the fraction. Remember that multiplying by a negative number will reverse the inequality sign. 1 < q - 15/-18 -18 * 1 < -18 * (q - 15/-18)Perform Multiplication: Perform the multiplication on the left side of the inequality. -18 < -18 * (q - 15/-18) -18 < -18q + 15Isolate Variable q: Now, we isolate the variable q by adding 18q to both sides of the inequality. -18 + 18q < -18q + 18q + 15 18q - 18 < 15Add to Isolate q: Next, we add 18 to both sides of the inequality to further isolate q. 18q - 18 + 18 < 15 + 18 18q < 33Divide to Solve q: Finally, we divide both sides of the inequality by 18 to solve for q. 18q/18 < 33/18 q < 33/18Simplify Fraction: Simplify the fraction on the right side of the inequality. q < 11/6

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

q

\newline

1 < \frac{q - 15}{-18}

Multiply to Simplify: First, we need to simplify the inequality by multiplying both sides by $-18$ to get rid of the fraction. Remember that multiplying by a negative number will reverse the inequality sign. $\newline$ 1 < \frac{q - 15}{-18} $\newline$ -18 \times 1 < -18 \times \left(q - \frac{15}{-18}\right)
Perform Multiplication: Perform the multiplication on the left side of the inequality. $\newline$ -18 < -18 \times (q - \frac{15}{-18}) $\newline$ -18 < -18q + 15
Isolate Variable $q$ : Now, we isolate the variable $q$ by adding $18q$ to both sides of the inequality. $\newline$ -18 + 18q < -18q + 18q + 15 $\newline$ 18q - 18 < 15
Add to Isolate $q$ : Next, we add $18$ to both sides of the inequality to further isolate $q$ . $\newline$ 18q - 18 + 18 < 15 + 18 $\newline$ 18q < 33
Divide to Solve $q$ : Finally, we divide both sides of the inequality by $18$ to solve for $q$ .\frac{18q}{18} < \frac{33}{18}q < \frac{33}{18}
Simplify Fraction: Simplify the fraction on the right side of the inequality. q < \frac{11}{6}