Question

write the sentence as an inequality. a number n is less than or equal to -7 or greater than 12. inequality: or graph the inequality.

Explanation:

Step1: Translate "less than or equal to"

The phrase "a number $n$ is less than or equal to - 7" is written as $n\leq - 7$.

Step2: Translate "greater than"

The phrase "a number $n$ is greater than 12" is written as $n>12$.

Step3: Combine with "or"

Since it is "or" between the two conditions, the compound - inequality is $n\leq - 7$ or $n > 12$.

Answer:

$n\leq - 7$ or $n>12$

For graphing:

• For $n\leq - 7$, we draw a closed - circle at $n=-7$ (because of the $\leq$ sign) and an arrow pointing to the left.
• For $n > 12$, we draw an open - circle at $n = 12$ (because of the $>$ sign) and an arrow pointing to the right.