Question
Solve the inequality
x>−21
Alternative Form
x∈(−21,+∞)
Evaluate
6−2(1−x)>3
Move the expression to the left side
6−2(1−x)−3>0
Subtract the numbers
3−2(1−x)>0
Calculate
More Steps

Evaluate
3−2(1−x)
Expand the expression
More Steps

Calculate
−2(1−x)
Apply the distributive property
−2×1−(−2x)
Any expression multiplied by 1 remains the same
−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
−2+2x
3−2+2x
Subtract the numbers
1+2x
1+2x>0
Move the constant to the right side
2x>0−1
Removing 0 doesn't change the value,so remove it from the expression
2x>−1
Divide both sides
22x>2−1
Divide the numbers
x>2−1
Solution
x>−21
Alternative Form
x∈(−21,+∞)
Show Solution
