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Aliun [14]
2 years ago
7

Solve the inequality for x and identify the graph of its solution (picture added)

Mathematics
1 answer:
zloy xaker [14]2 years ago
5 0

The inequality that is correctly graphed is the one in option B.

<h3>Which graph correctly describes the inequality?</h3>

Remember that if we have symbols like ≤ or ≥, we graph a solid circle, while if we use symbols like > or <, we need to use an open circle.

If we write:

x < -3

Then we must have an orange line to the left of x < -3

Finally, the option that you marked is wrong.

Why?

There it says that:

"x < -3 and x > 1"

The "and" means that x meets both properties at the same time, which is impossible.

The correct option is the one that says:

"x < -3 or x > 1".

The "or" means that x needs to meet only one of the two conditions, not both at the same time.

Then the correct option is B.

If you want to learn more about inequalities:

brainly.com/question/25275758

#SPJ1

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<h3>Answer:  E) x^5</h3>

\sqrt{x^{10}} = x^5

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Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is \sqrt{a^b} = a^{b/2}

A more general rule is

\sqrt[n]{a^b} = a^{b/n}

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

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