Question
Solve the inequality
x<213
Alternative Form
x∈(−∞,213)
Evaluate
3(2x−7)<4x−8
Expand the expression
More Steps

Evaluate
3(2x−7)
Apply the distributive property
3×2x−3×7
Multiply the numbers
6x−3×7
Multiply the numbers
6x−21
6x−21<4x−8
Move the expression to the left side
6x−21−4x<−8
Move the expression to the right side
6x−4x<−8+21
Add and subtract
More Steps

Evaluate
6x−4x
Collect like terms by calculating the sum or difference of their coefficients
(6−4)x
Subtract the numbers
2x
2x<−8+21
Add and subtract
2x<13
Divide both sides
22x<213
Solution
x<213
Alternative Form
x∈(−∞,213)
Show Solution
