Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
98<x<6
Alternative Form
x∈(98,6)
Evaluate
x:−8<x−1<5
Separate into two inequalities
{x÷(−8)<x−1x−1<5
Solve the inequality
More Steps
Evaluate
x÷(−8)<x−1
Divide the terms
More Steps
Evaluate
x÷(−8)
Rewrite the expression
−8x
Use b−a=−ba=−ba to rewrite the fraction
−8x
−8x<x−1
Multiply both sides of the inequality by 8
−8x×8<(x−1)×8
Multiply the terms
−x<(x−1)×8
Multiply the terms
More Steps
Multiply the terms
(x−1)×8
Apply the distributive property
x×8−8
Multiply the terms
8x−8
−x<8x−8
Move the variable to the left side
−x−8x<−8
Subtract the terms
More Steps
Evaluate
−x−8x
Collect like terms by calculating the sum or difference of their coefficients
(−1−8)x
Subtract the numbers
−9x
−9x<−8
Change the signs on both sides of the inequality and flip the inequality sign
9x>8
Divide both sides
99x>98
Divide the numbers
x>98
{x>98x−1<5
Solve the inequality
More Steps
Evaluate
x−1<5
Move the constant to the right side
x<5+1
Add the numbers
x<6
{x>98x<6
Solution
98<x<6
Alternative Form
x∈(98,6)
Show Solution
