Solve the linear inequality. Express the solution in set-builder notation.
-$x - 3 \leq 1$ and $x - 3 - 4$
A) $[ - 7 , - 2 )$
B) $( - 7 , - 2 ]$
C) $( - 1,4 ]$
D) $[ - 1,4 )$

Question

Solve the linear inequality. Express the solution in set-builder notation.
-$x - 3 \leq 1$ and $x - 3 > - 4$
A) $[ - 7 , - 2 )$
B) $( - 7 , - 2 ]$
C) $( - 1,4 ]$
D) $[ - 1,4 )$

Quizplus · Accepted Answer

The solution to the inequality $x - 3 \leq 1$ is $x \leq 4$, and the solution to $x - 3 > -4$ is $x > -1$. Combining these gives $-1 < x \leq 4$, which is expressed in set-builder notation as $( - 1,4 ]$.

Solve the Linear Inequality x−3≤1x - 3 \leq 1x−3≤1 And x−3>−4x - 3 > - 4x−3>−4

Solve the Linear Inequality $x - 3 \leq 1$ And $x - 3 > - 4$