Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
y≤4
Alternative Form
y∈(−∞,4]
Evaluate
4−y≥2(y−4)
Expand the expression
More Steps
Evaluate
2(y−4)
Apply the distributive property
2y−2×4
Multiply the numbers
2y−8
4−y≥2y−8
Move the expression to the left side
4−y−2y≥−8
Move the expression to the right side
−y−2y≥−8−4
Add and subtract
More Steps
Evaluate
−y−2y
Collect like terms by calculating the sum or difference of their coefficients
(−1−2)y
Subtract the numbers
−3y
−3y≥−8−4
Add and subtract
−3y≥−12
Change the signs on both sides of the inequality and flip the inequality sign
3y≤12
Divide both sides
33y≤312
Divide the numbers
y≤312
Solution
More Steps
Evaluate
312
Reduce the numbers
14
Calculate
4
y≤4
Alternative Form
y∈(−∞,4]
Show Solution
