Solve the linear inequality. Express the solution in set-builder notation.
-$7 x - 9 5$ or $- x + 7 \geq - 8$
A) $( - \infty , \infty )$
B) $[ 2,15 )$
C) $( 2 , \infty )$
D) $( 2,15 ]$

Question

Solve the linear inequality. Express the solution in set-builder notation.
-$7 x - 9 > 5$ or $- x + 7 \geq - 8$
A) $( - \infty , \infty )$
B) $[ 2,15 )$
C) $( 2 , \infty )$
D) $( 2,15 ]$

Quizplus · Accepted Answer

Solving each inequality: For $7x - 9 > 5$, adding 9 to both sides gives $7x > 14$, so $x > 2$. For $-x + 7 \geq -8$, adding $x$ to both sides and subtracting 7 gives $x \leq 15$. Since these are connected by "or", the solution is all real numbers, as any $x$ satisfies at least one inequality.

Solve the Linear Inequality 7x−9>57 x - 9 > 57x−9>5 Or −x+7≥−8- x + 7 \geq - 8−x+7≥−8

Solve the Linear Inequality $7 x - 9 > 5$ Or $- x + 7 \geq - 8$