Question
Solve the inequality
x<−6
Alternative Form
x∈(−∞,−6)
Evaluate
3x−1>2x
Multiply both sides of the inequality by 6
(3x−1)×6>2x×6
Multiply the terms
More Steps

Multiply the terms
(3x−1)×6
Apply the distributive property
3x×6−6
Reduce the fraction
x×2−6
Multiply the terms
2x−6
2x−6>2x×6
Multiply the terms
More Steps

Multiply the terms
2x×6
Reduce the fraction
x×3
Multiply the terms
3x
2x−6>3x
Move the variable to the left side
2x−6−3x>0
Subtract the terms
More Steps

Evaluate
2x−3x
Collect like terms by calculating the sum or difference of their coefficients
(2−3)x
Subtract the numbers
−x
−x−6>0
Move the constant to the right side
−x>0+6
Removing 0 doesn't change the value,so remove it from the expression
−x>6
Solution
x<−6
Alternative Form
x∈(−∞,−6)
Show Solution
