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mash [69]
2 years ago
10

Solve |x| < 5 A{x|-5 < x < 5} B{x|x < -5 or x > 5} C{-5, 5}

Mathematics
1 answer:
ira [324]2 years ago
8 0

When solving an absolute value inequality,

you can split the problem up into two separate inequalities.

The first inequality will look just like the original problem,

minus the absolute value signs (x < 5).

In the second inequality, you must switch the direction

of the inequality sign and make the right side negative (x > -5).

The word “and” is used between the two inequalities when

we  split things up, in this case x < 5 and x > -5.

The word "and" means intersection which means where the graphs overlap.

In this case, that's less than 5 and greater than -5.

In set notation, this reads {x: -5 < x < 5}.

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What is k-15=-8?<br><br><br> I need help with this one<br> Btw it is asking what k equals.
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k=7

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Answer:

Option C and Option D have exactly one solution.

Step-by-step explanation:

The equation will have exactly one solution when it completely solves and we get value of x.

Checking all choices

(Choice A)

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(infinite solutions)

(Choice B)

-19x -18 = -19x + 18

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0≠36

(no solution)

(Choice C)

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38x=0

x=0

(One solution)

(Choice D)

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38x=36

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(One solution)

So, Option C and Option D have exactly one solution.

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