Solve the inequality : 2x+3 =< 13

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Given the inequality: 2x+3 =< 13

We need to find all possible x values that satisfies the inequality.

First we will need to isolate x on the left side.

==> 2x+3 =< 13

Subtract 3 from both sides.

==> 2x =< 10

Now we will divide by 2.

==> x =< 5

Then, the equality holds for all x values equal or less than 5.

**==> x = ( -inf, 5] **

We have to solve 2x + 3 <= 13

2x + 3 <= 13

=> 2x =< 13 - 3

=> 2x =< 10

=> x =< 5

**The value of x lies in (-inf. , 5]**

All we need to know is to determine the segment of the line that is below x axis. For this reason, we'll find out x values that makes the expression of the linear function to be negative:

2x + 3 - 13 =< 0

2x - 10 =< 0

2x =< 10

x =< 5

**The values of x, for the segment of linear function is found below x axis, are located in the semi-closed interval (-infinite , 5].**

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