Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
b≤−1243
Alternative Form
b∈(−∞,−1243]
Evaluate
10−3(−5b−6)≤−9b−58
Move the expression to the left side
10−3(−5b−6)−(−9b−58)≤0
Subtract the terms
More Steps
Evaluate
10−3(−5b−6)−(−9b−58)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
10−3(−5b−6)+9b+58
Add the numbers
68−3(−5b−6)+9b
68−3(−5b−6)+9b≤0
Calculate the sum or difference
More Steps
Evaluate
68−3(−5b−6)+9b
Expand the expression
More Steps
Calculate
−3(−5b−6)
Apply the distributive property
−3(−5b)−(−3×6)
Multiply the numbers
15b−(−3×6)
Multiply the numbers
15b−(−18)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
15b+18
68+15b+18+9b
Add the numbers
86+15b+9b
Add the terms
More Steps
Evaluate
15b+9b
Collect like terms by calculating the sum or difference of their coefficients
(15+9)b
Add the numbers
24b
86+24b
86+24b≤0
Move the constant to the right side
24b≤0−86
Removing 0 doesn't change the value,so remove it from the expression
24b≤−86
Divide both sides
2424b≤24−86
Divide the numbers
b≤24−86
Solution
More Steps
Evaluate
24−86
Cancel out the common factor 2
12−43
Use b−a=−ba=−ba to rewrite the fraction
−1243
b≤−1243
Alternative Form
b∈(−∞,−1243]
Show Solution
