Question

Each​ month, a shopkeeper spends 7x+19 dollars on rent and electricity. If he spends 5x−2 dollars on​ rent, how much does he spend on​ electricity? Use pencil and paper. For which​ value(s) of x is the amount the shopkeeper spends on electricity less than​ $100? Explain how you found the​ value(s)

Answer 1

The shopkeeper spends 2x + 21 dollars on electricity

The amount the shopkeeper spends on electricity less than​ $100 is:

x < 39.5

What is a linear inequality?

Linear inequality explains the range of values that a variable represents.

Total amount spent by the shopkeeper = 7x + 19

Amount spent on rent = 5x - 2

Total amount spent = Amount spent on rent + Amount spent on electricity

(7x + 19)   =  (5x - 2 )  + Amount spent on electricity

Amount spent on electricity = (7x + 19) - (5x - 2)

Amount spent on electricity = 7x - 5x + 19 + 2

Amount spent on electricity = 2x + 21

For which​ value(s) of x is the amount the shopkeeper spends on electricity less than​ $100?

Amount spent on electricity  <  100

2x  +  21  <  100

2x  <  100  -  21

2x  <  79

x  <  79/2

x  <  39.5

Learn more on linear inequalities here: brainly.com/question/11613554