Solve the inequality and give the solution in interval notation.
-$- 15 \leq - 2 x - 5

Question

Solve the inequality and give the solution in interval notation.
-$- 15 \leq - 2 x - 5 < - 13$
A) $( 4,5 ]$
B) $[ 4,5 )$
C) $( - 5 , - 4 ]$
D) $[ - 5 , - 4 )$

Quizplus · Accepted Answer

To solve the inequality $-15 \leq -2x - 5 < -13$, we first isolate $x$ in both parts of the inequality. Adding $5$ to all parts gives $-10 \leq -2x < -8$. Dividing by $-2$ and reversing the inequality signs (since we're dividing by a negative number) gives $5 \geq x > 4$, which in interval notation is $(4, 5]$.

Solve the Inequality and Give the Solution in Interval Notation −15≤−2x−5<−13- 15 \leq - 2 x - 5 < - 13−15≤−2x−5<−13

Solve the Inequality and Give the Solution in Interval Notation $- 15 \leq - 2 x - 5 < - 13$