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Radda [10]
3 years ago
15

What are the integer solutions to the inequality below?

%20%5C%202x%2B1" id="TexFormula1" title="3\leq 3x-4\ \textless \ 2x+1" alt="3\leq 3x-4\ \textless \ 2x+1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Given:

The compound inequality is:

3\leq 3x-4

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

3\leq 3x-4

Case 1: 3\leq 3x-4

3+4\leq 3x

\dfrac{7}{3}\leq x

2.33...\leq x             ...(i)

Case 2: 3x-4

3x-2x

x                  ...(ii)

Using (i) and (ii), we get

2.33...

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.

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