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3 years ago

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

$-6\leq x\leq 16$

Step-by-step explanation:

So we have the inequality:

$|x-5|\leq 11$

Definition of Absolute Value:

$x-5\leq 11\text{ or } x-5\geq -11$

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

$x\leq 16\text{ or } x\geq -6$

Merge:

$-6\leq x\leq 16$

And we're done!

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Yuliya22 [10]

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Step-by-step explanation:

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2 years ago

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3 years ago

On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How

Sauron [17]

Answer:

He have 17 CDs on Monday.

Step-by-step explanation:

Given:

On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.

Now, to find the CDs he have on Monday.

Let the CDs he have on Monday be $x.$

So, on Tuesday as James bought 7 CDs:

$x+7.$

Now, on Wednesday half of all the CDs that he had were destroyed:

$\frac{x+7}{2}$

As, given on Thursday he had left CDs = 12.

According to question:

$\frac{x+7}{2}$ $=12$

Multiplying both sides by 2 we get:

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4 years ago

I find a place that will give me a 20% discount if i spend over $50 . My bill is $75. What is my final bill after the saving

Vesnalui [34]

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3 years ago

Find <ABC =2x and <CBD=3x-10

Romashka-Z-Leto [24]

Answer:

x = 20

Step-by-step explanation:

m<ABC and m<CBA are complementary angles which means their sum is 90 degrees:

2x + 3x - 10 = 90 add like terms

5x - 10 = 90 add 10 to both sides

5x = 100 divide both sides by 5

x = 20 to find the angles replace x with 20

m<ABC = 40 and

m<CBA = 50

3 0

3 years ago