Question
Solve the inequality
x≤2
Alternative Form
x∈(−∞,2]
Evaluate
3x−2≥7x−10
Move the expression to the left side
3x−2−7x≥−10
Move the expression to the right side
3x−7x≥−10+2
Add and subtract
More Steps

Evaluate
3x−7x
Collect like terms by calculating the sum or difference of their coefficients
(3−7)x
Subtract the numbers
−4x
−4x≥−10+2
Add and subtract
−4x≥−8
Change the signs on both sides of the inequality and flip the inequality sign
4x≤8
Divide both sides
44x≤48
Divide the numbers
x≤48
Solution
More Steps

Evaluate
48
Reduce the numbers
12
Calculate
2
x≤2
Alternative Form
x∈(−∞,2]
Show Solution
