Question
Solve the inequality
Solve for x
76<x<10
Alternative Form
x∈(76,10)
Evaluate
x:−6<x−1<9
Separate into two inequalities
{x÷(−6)<x−1x−1<9
Solve the inequality
More Steps
Evaluate
x÷(−6)<x−1
Divide the terms
More Steps
Evaluate
x÷(−6)
Rewrite the expression
−6x
Use b−a=−ba=−ba to rewrite the fraction
−6x
−6x<x−1
Multiply both sides of the inequality by 6
−6x×6<(x−1)×6
Multiply the terms
−x<(x−1)×6
Multiply the terms
More Steps
Multiply the terms
(x−1)×6
Apply the distributive property
x×6−6
Multiply the terms
6x−6
−x<6x−6
Move the variable to the left side
−x−6x<−6
Subtract the terms
More Steps
Evaluate
−x−6x
Collect like terms by calculating the sum or difference of their coefficients
(−1−6)x
Subtract the numbers
−7x
−7x<−6
Change the signs on both sides of the inequality and flip the inequality sign
7x>6
Divide both sides
77x>76
Divide the numbers
x>76
{x>76x−1<9
Solve the inequality
More Steps
Evaluate
x−1<9
Move the constant to the right side
x<9+1
Add the numbers
x<10
{x>76x<10
Solution
76<x<10
Alternative Form
x∈(76,10)
Show Solution