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What is the solution of the inequality [tex]\frac{p}{5} \leq 8[/tex]?

Include the appropriate inequality symbol in your response.

[tex]\[ p \ \square \][/tex]

Options:
- [tex] \ \textless \ [/tex]
- [tex] \leq [/tex]
- [tex] \geq [/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\(\frac{p}{5} \leq 8\)[/tex], follow these steps:

1. Begin with the inequality:
[tex]\[ \frac{p}{5} \leq 8 \][/tex]

2. To eliminate the fraction, multiply both sides of the inequality by 5:
[tex]\[ 5 \cdot \frac{p}{5} \leq 5 \cdot 8 \][/tex]

3. Simplify the left side by canceling out the 5 in the denominator:
[tex]\[ p \leq 40 \][/tex]

Therefore, the solution to the inequality [tex]\(\frac{p}{5} \leq 8\)[/tex] is:
[tex]\[ p \leq 40 \][/tex]

So the inequality symbol to be used is [tex]\( \leq \)[/tex]. Thus, [tex]$p$[/tex] [tex]\(\leq\)[/tex] 40.
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