Question
Solve the inequality
−43≤x≤2
Alternative Form
x∈[−43,2]
Evaluate
−3≤4x≤8
Separate into two inequalities
{−3≤4x4x≤8
Solve the inequality
More Steps

Evaluate
−3≤4x
Swap the sides of the inequality
4x≥−3
Divide both sides
44x≥4−3
Divide the numbers
x≥4−3
Use b−a=−ba=−ba to rewrite the fraction
x≥−43
{x≥−434x≤8
Solve the inequality
More Steps

Evaluate
4x≤8
Divide both sides
44x≤48
Divide the numbers
x≤48
Divide the numbers
More Steps

Evaluate
48
Reduce the numbers
12
Calculate
2
x≤2
{x≥−43x≤2
Solution
−43≤x≤2
Alternative Form
x∈[−43,2]
Show Solution
