Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−2<x≤4
Alternative Form
x∈(−2,4]
Evaluate
−3<23x≤6
Separate into two inequalities
{−3<23x23x≤6
Solve the inequality
More Steps
Evaluate
−3<23x
Swap the sides of the inequality
23x>−3
Cross multiply
3x>2(−3)
Simplify the equation
3x>−6
Divide both sides
33x>3−6
Divide the numbers
x>3−6
Divide the numbers
More Steps
Evaluate
3−6
Reduce the numbers
1−2
Calculate
−2
x>−2
{x>−223x≤6
Solve the inequality
More Steps
Evaluate
23x≤6
Cross multiply
3x≤2×6
Simplify the equation
3x≤12
Divide both sides
33x≤312
Divide the numbers
x≤312
Divide the numbers
More Steps
Evaluate
312
Reduce the numbers
14
Calculate
4
x≤4
{x>−2x≤4
Solution
−2<x≤4
Alternative Form
x∈(−2,4]
Show Solution
