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lisov135 [29]
3 years ago
10

15−x+y=14−(−x−y) help plz

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

x=0.5

y=anything

Step-by-step explanation:

15−x+y=14−(−x−y)

15-x+y=14+x+y

<em>Subtract 14 from both sides</em>

1-x+y=x+y

<em>Subtract y from both sides</em>

1-x=x

<em>Add x to both sides</em>

1=2x

2x=1

<em>Divide both sides by 2</em>

x=0.5

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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
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"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
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Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

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In set builder notation it would look something like this:

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It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
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