Question

Imagine youself to be in a park with $\$20$. You have already spent $\$9$ on the entry fees. How much possible amount of money you can spent in the park?

• A. $x\le \$11$.
• B. $x\ge \$11$
• C. $x<\$11$
• D. $x>\$11$

Answer 1

The correct option is A $x\le \$11$.

Let the possible amount of money you can spent in the park be $x$.
Given,
Total money $=\$20$
$\Rightarrow$Amount of money you can spent in the park + Money spent in entry fees $\le$ Total money
$\Rightarrow x+9\le 20$

Subtract 9 both the sides
$\Rightarrow x+9-9\le 20-9$
$\Rightarrow x\le 11$

It can be represented on the numberline as:
A closed circle at $11$ and the red line goes to the right, indicating that $x$ is less than or equal to $11$.


the possible amount of money you can spent in the park be $x\le \$11$.