We want to solve the following inequality:
11.22x - 200 < 347.96
In order to solve these type of expressions, we just have to "leave alone" the x on one side of the inequality (left side in this case).
In order to do that, we must remember two simple rules:
We want to take to the right side the -200 and 11.22.
Step 1: taking -200 to the right side
11.22x - 200 < 347.96
↓ adding 200 both sides
11.22x - 200 + 200 < 347.96 + 200
↓ left: since 11.22x - 200 + 200 = 11.22x
11.22x < 347.96 + 200
↓ right: since 347.96 + 200 = 547.96
11.22x < 547.96
Step 2: taking 11.22 to the right side
11.22x < 547.96
↓ dividing 11.22 both sides
11.22x/11.22 < 547.96/11.22
↓ left: since 11.22x/11.22 = x
x < 547.96/11.22
↓ right: since 547.96/11.22 = 48.8377
x < 48.8377
We want to round it to the nearest hundredth (number with two digits after the decimal point).
Since 48.8377 is nearer to 48.8400 than to 48.8300
then
48.8377 ≅ 48.8400 = 48.84
Answer: A. 48.84
