Solving an inequation
Initial explanation
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:
Solving the inequality
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
Rounding the answer
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