Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
x>−2
Alternative Form
x∈(−2,+∞)
Evaluate
21x+7>2(9x−8)+3−7x
Move the expression to the left side
21x+7−(2(9x−8)+3−7x)>0
Calculate the sum or difference
More Steps
Evaluate
21x+7−(2(9x−8)+3−7x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
21x+7−2(9x−8)−3+7x
Add the terms
More Steps
Evaluate
21x+7x
Collect like terms by calculating the sum or difference of their coefficients
(21+7)x
Add the numbers
28x
28x+7−2(9x−8)−3
Subtract the numbers
28x+4−2(9x−8)
28x+4−2(9x−8)>0
Calculate the sum or difference
More Steps
Evaluate
28x+4−2(9x−8)
Expand the expression
More Steps
Calculate
−2(9x−8)
Apply the distributive property
−2×9x−(−2×8)
Multiply the numbers
−18x−(−2×8)
Multiply the numbers
−18x−(−16)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−18x+16
28x+4−18x+16
Subtract the terms
More Steps
Evaluate
28x−18x
Collect like terms by calculating the sum or difference of their coefficients
(28−18)x
Subtract the numbers
10x
10x+4+16
Add the numbers
10x+20
10x+20>0
Move the constant to the right side
10x>0−20
Removing 0 doesn't change the value,so remove it from the expression
10x>−20
Divide both sides
1010x>10−20
Divide the numbers
x>10−20
Solution
More Steps
Evaluate
10−20
Reduce the numbers
1−2
Calculate
−2
x>−2
Alternative Form
x∈(−2,+∞)
Show Solution
