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liq [111]
3 years ago
6

Which value(s) from the set {5,7,9,11,13} make the inequality w-4<8 true?

Mathematics
2 answers:
ale4655 [162]3 years ago
8 0
The answer set is {5,7,9,11}
LenKa [72]3 years ago
6 0

Answer with explanation:

The Set, S= {5,7,9,11,13}

We have to find the value of w, in the  inequality,from the set S,for which this inequality holds true.

The given inequality is

 w-4 <8

w-4+4<8+4

w<12

So, the value of S,from the set S ,for which this inequality holds true is

⇒Solution set={5,7,9,11}

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3 years ago
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Remark
When you have two parallel lines cutting the sides of a triangle and one of them is the base of the triangle, then the 2 sides cut form a proportion. The safest way to handle this is to set up the proportion so that you are talking about sides of similar triangles..

Givens
BD || AE
CD = 16
CE = 16 + 4
CB = 12
CA = 12 + x

Set Up the Proportion
CD/CE = CB / CA

Substitute and Solve
16/20 = 12/(12 + x)                Cross multiply
16*(12 + x) = 20 * 12             Combine the right
16*(12 + x) = 240                   Remove the brackets.
192 + 16x = 240                     Subtract 192 from both sides.
16x = 240 - 192
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4 years ago
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