Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
1≤x≤13
Alternative Form
x∈[1,13]
Evaluate
5∣7−x∣−8≤22
Move the expression to the left side
5∣7−x∣−8−22≤0
Subtract the numbers
5∣7−x∣−30≤0
Rewrite the expression
5∣7−x∣≤30
Divide both sides
55∣7−x∣≤530
Divide the numbers
∣7−x∣≤530
Divide the numbers
More Steps
Evaluate
530
Reduce the numbers
16
Calculate
6
∣7−x∣≤6
Separate the inequality into 2 possible cases
{7−x≤67−x≥−6
Solve the inequality for x
More Steps
Evaluate
7−x≤6
Move the constant to the right side
−x≤6−7
Subtract the numbers
−x≤−1
Change the signs on both sides of the inequality and flip the inequality sign
x≥1
{x≥17−x≥−6
Solve the inequality for x
More Steps
Evaluate
7−x≥−6
Move the constant to the right side
−x≥−6−7
Subtract the numbers
−x≥−13
Change the signs on both sides of the inequality and flip the inequality sign
x≤13
{x≥1x≤13
Solution
1≤x≤13
Alternative Form
x∈[1,13]
Show Solution
