Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
g<−7889
Alternative Form
g∈(−∞,−7889)
Evaluate
−55(−3g−3)<9g−6−7
Subtract the numbers
−55(−3g−3)<9g−13
Expand the expression
More Steps
Evaluate
−55(−3g−3)
Apply the distributive property
−55(−3g)−(−55×3)
Multiply the numbers
More Steps
Evaluate
−55(−3)
Multiplying or dividing an even number of negative terms equals a positive
55×3
Multiply the numbers
165
165g−(−55×3)
Multiply the numbers
165g−(−165)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
165g+165
165g+165<9g−13
Move the expression to the left side
165g+165−9g<−13
Move the expression to the right side
165g−9g<−13−165
Add and subtract
More Steps
Evaluate
165g−9g
Collect like terms by calculating the sum or difference of their coefficients
(165−9)g
Subtract the numbers
156g
156g<−13−165
Add and subtract
156g<−178
Divide both sides
156156g<156−178
Divide the numbers
g<156−178
Solution
More Steps
Evaluate
156−178
Cancel out the common factor 2
78−89
Use b−a=−ba=−ba to rewrite the fraction
−7889
g<−7889
Alternative Form
g∈(−∞,−7889)
Show Solution
