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

D)150 ≤ w ≤ 500

Let 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:

Which is equivalent to

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:

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