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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
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).
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.
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
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.).
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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