Answer:
He spends (8x+15)-(5x-2) = 3x+17 dollars on electricity.
Step-by-step explanation:
To find the value(s) of x for which the shopkeeper spends less than $100 on electricity, we can set the expression for the cost of electricity (3x+17) less than 100 and solve for x:
3x+17 < 100
3x < 83
x < 83/3
Therefore, the value of x for which the shopkeeper spends less than $100 on electricity is any value less than 83/3, or approximately 27.67. To check this, we can substitute x = 27 into the expression for the cost of electricity:
3x+17 = 3(27)+17 = 98
Since 98 is less than $100, we know that for any value of x less than 83/3, the shopkeeper will spend less than $100 on electricity.
I hope this helps!