Question
Solve the inequality
a<40
Alternative Form
a∈(−∞,40)
Evaluate
−5(a−41)−41>−36
Move the expression to the left side
−5(a−41)−41−(−36)>0
Subtract the numbers
More Steps

Evaluate
−41−(−36)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−41+36
Add the numbers
−5
−5(a−41)−5>0
Calculate
More Steps

Evaluate
−5(a−41)−5
Expand the expression
More Steps

Calculate
−5(a−41)
Apply the distributive property
−5a−(−5×41)
Multiply the numbers
−5a−(−205)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−5a+205
−5a+205−5
Subtract the numbers
−5a+200
−5a+200>0
Move the constant to the right side
−5a>0−200
Removing 0 doesn't change the value,so remove it from the expression
−5a>−200
Change the signs on both sides of the inequality and flip the inequality sign
5a<200
Divide both sides
55a<5200
Divide the numbers
a<5200
Solution
More Steps

Evaluate
5200
Reduce the numbers
140
Calculate
40
a<40
Alternative Form
a∈(−∞,40)
Show Solution
