Question
Solve the inequality
x≤10
Alternative Form
x∈(−∞,10]
Evaluate
4(x−10)≥9(x−10)
Calculate
More Steps

Evaluate
4(x−10)
Apply the distributive property
4x−4×10
Multiply the numbers
4x−40
4x−40=9(x−10)
Calculate
More Steps

Evaluate
9(x−10)
Apply the distributive property
9x−9×10
Multiply the numbers
9x−90
4x−40=9x−90
Move the expression to the left side
4x−40−(9x−90)≥0
Calculate
More Steps

Add the terms
4x−40−(9x−90)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x−40−9x+90
Subtract the terms
More Steps

Evaluate
4x−9x
Collect like terms by calculating the sum or difference of their coefficients
(4−9)x
Subtract the numbers
−5x
−5x−40+90
Add the numbers
−5x+50
−5x+50≥0
Move the constant to the right side
−5x≥0−50
Removing 0 doesn't change the value,so remove it from the expression
−5x≥−50
Change the signs on both sides of the inequality and flip the inequality sign
5x≤50
Divide both sides
55x≤550
Divide the numbers
x≤550
Solution
More Steps

Evaluate
550
Reduce the numbers
110
Calculate
10
x≤10
Alternative Form
x∈(−∞,10]
Show Solution
