Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
r≤−48710
Alternative Form
r∈(−∞,−48710]
Evaluate
9r−4(−5r−5)≤−9r×105
Multiply the terms
9r−4(−5r−5)≤−945r
Move the expression to the left side
9r−4(−5r−5)−(−945r)≤0
Subtract the terms
More Steps
Evaluate
9r−4(−5r−5)−(−945r)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
9r−4(−5r−5)+945r
Add the terms
More Steps
Evaluate
9r+945r
Collect like terms by calculating the sum or difference of their coefficients
(9+945)r
Add the numbers
954r
954r−4(−5r−5)
954r−4(−5r−5)≤0
Calculate
More Steps
Evaluate
954r−4(−5r−5)
Expand the expression
More Steps
Calculate
−4(−5r−5)
Apply the distributive property
−4(−5r)−(−4×5)
Multiply the numbers
20r−(−4×5)
Multiply the numbers
20r−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
20r+20
954r+20r+20
Add the terms
More Steps
Evaluate
954r+20r
Collect like terms by calculating the sum or difference of their coefficients
(954+20)r
Add the numbers
974r
974r+20
974r+20≤0
Move the constant to the right side
974r≤0−20
Removing 0 doesn't change the value,so remove it from the expression
974r≤−20
Divide both sides
974974r≤974−20
Divide the numbers
r≤974−20
Solution
More Steps
Evaluate
974−20
Cancel out the common factor 2
487−10
Use b−a=−ba=−ba to rewrite the fraction
−48710
r≤−48710
Alternative Form
r∈(−∞,−48710]
Show Solution
