Question
Solve the inequality
a≥20
Alternative Form
a∈[20,+∞)
Evaluate
50a+(40−a)×40≥1800
Multiply the terms
50a+40(40−a)≥1800
Move the expression to the left side
50a+40(40−a)−1800≥0
Calculate the sum or difference
More Steps

Evaluate
50a+40(40−a)−1800
Expand the expression
More Steps

Calculate
40(40−a)
Apply the distributive property
40×40−40a
Multiply the numbers
1600−40a
50a+1600−40a−1800
Subtract the terms
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Evaluate
50a−40a
Collect like terms by calculating the sum or difference of their coefficients
(50−40)a
Subtract the numbers
10a
10a+1600−1800
Subtract the numbers
10a−200
10a−200≥0
Move the constant to the right side
10a≥0+200
Removing 0 doesn't change the value,so remove it from the expression
10a≥200
Divide both sides
1010a≥10200
Divide the numbers
a≥10200
Solution
More Steps

Evaluate
10200
Reduce the numbers
120
Calculate
20
a≥20
Alternative Form
a∈[20,+∞)
Show Solution
