Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−11≤a≤7
Alternative Form
a∈[−11,7]
Evaluate
−1≤34−a≤5
Separate into two inequalities
{−1≤34−a34−a≤5
Solve the inequality
More Steps
Evaluate
−1≤34−a
Swap the sides of the inequality
34−a≥−1
Cross multiply
4−a≥3(−1)
Simplify the equation
4−a≥−3
Move the constant to the right side
−a≥−3−4
Subtract the numbers
−a≥−7
Change the signs on both sides of the inequality and flip the inequality sign
a≤7
{a≤734−a≤5
Solve the inequality
More Steps
Evaluate
34−a≤5
Cross multiply
4−a≤3×5
Simplify the equation
4−a≤15
Move the constant to the right side
−a≤15−4
Subtract the numbers
−a≤11
Change the signs on both sides of the inequality and flip the inequality sign
a≥−11
{a≤7a≥−11
Solution
−11≤a≤7
Alternative Form
a∈[−11,7]
Show Solution
