Solve for q. -2(q + 10) - 15 > -11 ______

Distribute -2: Distribute -2 across the parentheses in the inequality -2(q + 10) - 15 > -11. -2 * q + (-2) * 10 - 15 > -11 -2q - 20 - 15 > -11Combine like terms: Combine like terms on the left side of the inequality. -2q - 20 - 15 = -2q - 35 So, the inequality now is -2q - 35 > -11.Add 35: Add 35 to both sides of the inequality to isolate the term with the variable q. -2q - 35 + 35 > -11 + 35 -2q > 24Divide by -2: Divide both sides of the inequality by -2 to solve for q. Remember that dividing by a negative number reverses the inequality sign. -2q / -2 < 24 / -2 q < -12

Home

Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

q

\newline

-2(q + 10) - 15 > -11

Distribute $-2$ : Distribute $-2$ across the parentheses in the inequality -2(q + 10) - 15 > -11. $\newline$ -2 \times q + (-2) \times 10 - 15 > -11 $\newline$ -2q - 20 - 15 > -11
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-2q - 20 - 15 = -2q - 35$ $\newline$ So, the inequality now is -2q - 35 > -11.
Add $35$ : Add $35$ to both sides of the inequality to isolate the term with the variable $q$ . $\newline$ -2q - 35 + 35 > -11 + 35 $\newline$ -2q > 24
Divide by $-2$ : Divide both sides of the inequality by $-2$ to solve for $q$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ -2q / -2 < 24 / -2 $\newline$ q < -12