<img src="https://tex.z-dn.net/?f=given%20%5C%3A%20that2%20%5Cleqslant%205%20%5Ctimes%20%20-%208%20%5Cleqslant%20%20%5Ctimes%20%

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2 years ago

20%2B%2014find%20%5C%3A%20all%20%5C%3A%20the%20%5C%3A%20prime%20%5C%3A%20numbers%20%5C%3A%20that%20%5C%3A%20signify%20%5C%3A%20the%20%5C%3A%20inequality" id="TexFormula1" title="given \: that2 \leqslant 5 \times - 8 \leqslant \times + 14find \: all \: the \: prime \: numbers \: that \: signify \: the \: inequality" alt="given \: that2 \leqslant 5 \times - 8 \leqslant \times + 14find \: all \: the \: prime \: numbers \: that \: signify \: the \: inequality" align="absmiddle" class="latex-formula">
find all the prime numbers that Satisfy the inequality.

Mathematics

1 answer:

Ne4ueva [31]2 years ago

6 0

9514 1404 393

Answer:

x = {2, 3, 5}

Step-by-step explanation:

Break the inequality into two parts:

left part

2 ≤ 5x -8

10 ≤ 5x . . . . . add 8

2 ≤ x . . . . . . . divide by 5

right part

5x -8 ≤ x +14

4x ≤ 22 . . . . . add 8-x

x ≤ 5.5 . . . . . divide by 4

The solution space is 2 ≤ x ≤ 5.5. The prime numbers in this range are ...

x = {2, 3, 5}

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