Write the solution set using interval notation.
-$- 7 ( y - 9 ) \leq - 9 y + 63$
A) $( - \infty , 63 )$
B) $( 0 , \infty )$
C) $[ 126 , \infty )$
D) $( - \infty , 0 ]$

Question

Quizplus · Accepted Answer

Solving the inequality $-7(y - 9) \leq -9y + 63$, we first distribute the -7 to get $-7y + 63 \leq -9y + 63$. Adding 9y to both sides gives $2y + 63 \leq 63$, which simplifies to $2y \leq 0$, or $y \leq 0$. Thus, the solution set in interval notation is $(-\infty, 0]$.

Write the Solution Set Using Interval Notation −7(y−9)≤−9y+63- 7 ( y - 9 ) \leq - 9 y + 63−7(y−9)≤−9y+63

Write the Solution Set Using Interval Notation $- 7 ( y - 9 ) \leq - 9 y + 63$