Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x≤4
Alternative Form
x∈(−∞,4]
Evaluate
3(2−x)≥2(1−x)
Calculate
More Steps
Evaluate
3(2−x)
Apply the distributive property
3×2−3x
Multiply the numbers
6−3x
6−3x=2(1−x)
Calculate
More Steps
Evaluate
2(1−x)
Apply the distributive property
2×1−2x
Any expression multiplied by 1 remains the same
2−2x
6−3x=2−2x
Move the expression to the left side
6−3x−(2−2x)≥0
Calculate
More Steps
Add the terms
6−3x−(2−2x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6−3x−2+2x
Subtract the numbers
4−3x+2x
Add the terms
More Steps
Evaluate
−3x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−3+2)x
Add the numbers
−x
4−x
4−x≥0
Move the constant to the right side
−x≥0−4
Removing 0 doesn't change the value,so remove it from the expression
−x≥−4
Solution
x≤4
Alternative Form
x∈(−∞,4]
Show Solution
