Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $x - 3$ and $x \leq 5$
A) $[ - 5,3 )$
B) $[ - 3,5 )$
C) $( - 3,5 ]$
D) $( - \infty , \infty )$
E) $\varnothing$

Question

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $x > - 3$ and $x \leq 5$
A) $[ - 5,3 )$ 
B) $[ - 3,5 )$ 
C) $( - 3,5 ]$ 
D) $( - \infty , \infty )$ 
E) $\varnothing$

Quizplus · Accepted Answer

The compound inequality is:
$x > -3$ and $x \leq 5$
The graph of this solution on the number line includes all real numbers greater than $-3$ but less than or equal to $5$. In interval notation, this is $( -3,5]$. Therefore, the correct choice is C.

Solve the Compound Inequality x>−3x > - 3x>−3 And x≤5x \leq 5x≤5

Solve the Compound Inequality $x > - 3$ And $x \leq 5$