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Solve the inequality : 2x+3 =< 13

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clara2 | Student, Undergraduate | (Level 3) eNoter

Posted May 11, 2011 at 4:15 AM via web

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Solve the inequality : 2x+3 =< 13

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted May 11, 2011 at 4:17 AM (Answer #1)

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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]

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 11, 2011 at 4:20 AM (Answer #2)

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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]

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted May 11, 2011 at 1:59 PM (Answer #3)

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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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tonys538 | TA , Undergraduate | (Level 1) Valedictorian

Posted October 30, 2014 at 5:08 PM (Answer #4)

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The inequality 2x+3 =< 13 has to be solved.

If an equal term is added or subtracted from both the sides of an inequality, it is not altered.

2x+3 =< 13

Add -3 to both the sides.

2x+3-3 =< 13-3

2x <= 10

If the sides of an inequality are divided by a positive term it is not altered.

Divide the two sides of the inequality by 2

x <= 10/2

x <= 5

The solution of the inequality is all values of x less than or equal to 5.

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