Question

building inequalities to solve real - world problems: tutorial
hide sample answer
the problem statement says the total cost is more than $16,213.02:
total_cost > 16,213.02.
the inequality 1.05x + 1,500 > 16,213.02 represents the scenario.
part d
solve the inequality for the variable x. use opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.
space used(includes formatting): 0 / 30000
submit

Explanation:

Step1: Subtract 1500 from both sides

To isolate the term with \( x \), we subtract 1500 from both sides of the inequality \( 1.05x + 1500 > 16213.02 \).

$$ 1.05x + 1500 - 1500 > 16213.02 - 1500 $$

Simplifying both sides, we get:

$$ 1.05x > 14713.02 $$

Step2: Divide both sides by 1.05

To solve for \( x \), we divide both sides of the inequality by 1.05.

$$ \frac{1.05x}{1.05} > \frac{14713.02}{1.05} $$

Simplifying both sides, we find:

$$ x > 14012.4 $$

Answer:

\( x > 14012.4 \)