Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
a>−10
Alternative Form
a∈(−10,+∞)
Evaluate
−19a<−5(2a−18)
Expand the expression
More Steps
Evaluate
−5(2a−18)
Apply the distributive property
−5×2a−(−5×18)
Multiply the numbers
−10a−(−5×18)
Multiply the numbers
−10a−(−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
−10a+90
−19a<−10a+90
Move the variable to the left side
−19a+10a<90
Add the terms
More Steps
Evaluate
−19a+10a
Collect like terms by calculating the sum or difference of their coefficients
(−19+10)a
Add the numbers
−9a
−9a<90
Change the signs on both sides of the inequality and flip the inequality sign
9a>−90
Divide both sides
99a>9−90
Divide the numbers
a>9−90
Solution
More Steps
Evaluate
9−90
Reduce the numbers
1−10
Calculate
−10
a>−10
Alternative Form
a∈(−10,+∞)
Show Solution
