Question

Kylie is writing a persuasive essay for English class. The essay has to present her opinion and evidence for constructing that opinion. The essay has to have a minimum word count of 150 words and a maximum word count of 500 words.


Which compound inequality represents the length, w, of the essay?
A)500 ≤ w ≤ 150
B)150 ≥ w
C)500 ≤ w
D)150 ≤ w ≤ 500

Answer 1

Answer

D)150 ≤ w ≤ 500

Explanation

Let $w$ be the number of word in Kylie's essay.

We know that the essay has to have a minimum word count of 150, so the length of the essay must be greater or equal than 150 words; remember that in mathematics we say greater or equal with the sign: ≥, so we can express the statement as:

$w\geq 150$

Which is equivalent to $150\leq w$

We also know that the essay has to have a maximum word count of 500 words, so the length of the essay must be lest or equal than 500 words; remember that we can say the same using the symbol ≤, so we can express the statement as:

$w\leq 500$

Now, we can join our tow inequalities in a compounded one:

$150\leq w\leq 500$

Answer 2

The answer is D.

Hope this helps!!! :)