Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
a≥38
Alternative Form
a∈[38,+∞)
Evaluate
−a−1≤8−a≤2a
Separate into two inequalities
{−a−1≤8−a8−a≤2a
Solve the inequality
More Steps
Evaluate
−a−1≤8−a
Cancel equal terms on both sides of the expression
−1≤8
The statement is true for any value of a
a∈R
{a∈R8−a≤2a
Solve the inequality
More Steps
Evaluate
8−a≤2a
Move the variable to the left side
8−a−2a≤0
Subtract the terms
More Steps
Evaluate
−a−2a
Collect like terms by calculating the sum or difference of their coefficients
(−1−2)a
Subtract the numbers
−3a
8−3a≤0
Move the constant to the right side
−3a≤0−8
Removing 0 doesn't change the value,so remove it from the expression
−3a≤−8
Change the signs on both sides of the inequality and flip the inequality sign
3a≥8
Divide both sides
33a≥38
Divide the numbers
a≥38
{a∈Ra≥38
Solution
a≥38
Alternative Form
a∈[38,+∞)
Show Solution
