Question
Solve the inequality
Solve for x
x≤−4
Alternative Form
x∈(−∞,−4]
Evaluate
−7x−4≥−2x+16
Move the expression to the left side
−7x−4+2x≥16
Move the expression to the right side
−7x+2x≥16+4
Add and subtract
More Steps
Evaluate
−7x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−7+2)x
Add the numbers
−5x
−5x≥16+4
Add and subtract
−5x≥20
Change the signs on both sides of the inequality and flip the inequality sign
5x≤−20
Divide both sides
55x≤5−20
Divide the numbers
x≤5−20
Solution
More Steps
Evaluate
5−20
Reduce the numbers
1−4
Calculate
−4
x≤−4
Alternative Form
x∈(−∞,−4]
Show Solution