How do you solve and graph the compound inequality #4 < a + 2 < 10#?

Answer 1

Julia Adams

#2<a<8#

Subtract 2 from each term: #2

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Answer 2

Ethan Adkins

To solve and graph the compound inequality 4 < a + 2 < 10, you first subtract 2 from all parts of the compound inequality to isolate "a." This yields 2 < a < 8. Then, you graph this solution on a number line by plotting an open circle at 2 and another open circle at 8. Finally, you shade the region between the two open circles, indicating all values of "a" that satisfy the compound inequality.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph the compound inequality #4 &lt; a + 2 &lt; 10#?

How do you solve and graph the compound inequality #4 < a + 2 < 10#?