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AlekseyPX
2 years ago
11

Solve the inequality and write in interval notation 2−5|6x−4|<−13

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
5 0

The solution to the inequality is (7/6, ∝) and (-∝, 7/6)

<h3>How to solve the inequality?</h3>

The inequality expression is given as:

2−5|6x−4|<−13

Subtract 2 from both sides

|6x−4|<−15

Divide through by -5

|6x−4| > 3

Remove the inequality sign

6x - 4 > 3 or 6x - 4 < 3

Add 4 to both sides

6x > 7 or 6x < 7

Divide by 6

x > 7/6 or x < 7/6

In interval notation, we have:

(7/6, ∝) and (-∝, 7/6)

Read more about inequality at:

brainly.com/question/18881247

#SPJ1

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4 years ago
Mike can bind 109 flowers per hour, John can bind 116 flowers
antiseptic1488 [7]

Hello!

We know that mike can bind 109 flowers per hour.

Lets create an equation to remember this.

<u>Mikes equation: </u>

<u>109x = y</u>

<u />

<x is representing per hour in this math problem>

We know that John can bind 116 flowers per hour, here is his equation.

<u>Johns equation:</u>

<u>116x = y</u>

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Question: If they work together for 5 hours, how many flowers  can they bind?

First, plug in the number five in both equations.

Second, solve the equation by multiplying.

Mikes:

109(5) = y

109 times 5 is 545

y = 545

Johns:

116(5) = y

116 times 5 is 580

y = 580

We want to know how many flowers can they bind if they work together.

This means we need to add the answers of the equations from both mike's and john's together.

545 + 580 = 1,125

The answer is 1,125

4 0
3 years ago
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Step-by-step explanation:

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A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet ab
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Answer:

The answer is D.

Step-by-step explanation:

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