What are the integer solutions to the inequality below?

4x+1<5x≤3(x+2)

Given:

The inequality is:

To find:

The integer solutions to the given inequality.

Solution:

We have,

This compound inequality can be written as two separate inequalities and .

Now,

                ...(i)

And,

Divide both sides by 2.

              ...(ii)

From (i) and (ii), we get

Here, 1 is excluded and 3 is included in the solution set. There two integer values 2 and 3 in .

Therefore, the integer solution for the given inequality are 2 and 3.

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step-by-step explanation: