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gulaghasi [49]
3 years ago
8

Solve the compound inequality.

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0
5x - 11 < -11
5x < 0
x < 0

4x + 2 > 14
4x > 12
x > 3

x<0 or x > 3
Alenkinab [10]3 years ago
6 0

Answer:

x<0 or x> 3

First option is correct.

Step-by-step explanation:

The given inequality is

5x – 11 < –11 or 4x + 2 > 14

Add 11 to both sides in first inequality and subtract 2 to both sides in second inequality

5x  < –11+11 or 4x  > 14-2

5x < 0 or 4x > 12

Divide both sides by 5 in first inequality and divide both sides by 4 in second inequality

x<0 or x> 3

First option is correct.

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The length of the race on sunday was 2 km. what is the length of 4 of those same races in meters?
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Tammy figured her math exam would be difficult unless she put in at
Ludmilka [50]

Answer: No, she did not study for at least 15 hours.

=======================================================

Explanation:

Fractions are often a pain, so I find it easier to convert to decimal form whenever possible.

1/2 = 0.5

3/4 = 0.75

which lead to,

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

-----------------------------

We can then rephrase the problem like so:

"She studied 2.5 hours on Monday, 3 hours on Tuesday, 4.75 hours on Wednesday, and 4.5 hours on Thursday"

Add up those decimal values to get:

2.5 + 3 + 4.75 + 4.5 = 14.75

In total, Tammy studied for 14.75 hours, which is equivalent to 14 & 3/4 hours.

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Note: "at least 15" is the same as saying "15 or more".

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