5-2x < 9   what is x values?

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

The answer here is that x > -2.  Here is how you arrive at this answer.

All you have to do is to solve this in the same way that you would solve a normal equation -- one that is not an inequality.  To do that, you isolate the x term on one side.  You should do this by subtracting 5 from both sides.  When you do that, you get

-2x < 4

Now you must divide by -2, but you must take care that you do not forget to change the direction of the inequality sign when you do this.  Then you will have

x > -2

hala718's profile pic

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

Posted on

5-2x < 9

We will solve it the way we solve the equation:

First subtract 5 from both sides:

-2x < 4

Now divide by -2

 ==> x > -2

Notice that we changed the direction of the inequality because we divided by a negative number .

Then x values:

x belongs to the interval (-2, infinity).

udonbutterfly's profile pic

udonbutterfly | Student, College Freshman | (Level 1) Valedictorian

Posted on

5-2x < 9 In order to get the values of x we have to get x by itself so you are going subtract 5 of both sides.

5-2x -5 < 9 -5 The 5 on the left side will cancel out and leave you with -2x

-2x < 4 Now divide both sides by -2 on both sides.

-2x/-2 < 4/-2 Keep in mind that since you are diving by  negative number you are going to have to flip the signs

x > -2 Here is your answer.

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

5 - 2x < 9

First you should subtract 5 on both sides

By subtracting ,  you should get

-2x < 4 now divide both sides by -2

By dividing , you should get

X > -2 which is your answer

Remember dividing by negative numbers would change the sign

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll isolate the unknown, -2x, to the left side. For this reason, we'll add -5 both sides:



Now, we'll divide by -2, but the direction of the inequality will be changed, as each time when we divide an inequality, by a negative value:



That means that the inequlity holds for any value of x which belongs to the interval (-2, +inf.).

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on



An inequality does not change by adding or subracting equals. So subtract 5 from both sides.



An equality does not change by multipling a positive quantity both sides. So multiply by (1/2).



An inequality reverses by multiply by a negative quantity. Multiply by (-1).

(-x)(-1) > 2(-1)

x > -2.

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