The shopkeeper spends 2x + 21 dollars on electricity
The amount the shopkeeper spends on electricity less than $100 is:
x < 39.5
<h3>What is a linear inequality?</h3>
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