Answer and Step-by-step explanation:
To solve an inequality, you must solve for the variable. Let's look at an example:
4x + 2 > 10
We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.
(Solve as if you were solving a regular equation)
4x > 8
x > 2
We get x > 2 as our inequality.
To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.
If when solving the inequality and you have to divide by a negative, the sign will change. Ex:
-5x > 25
x < -5
To show that the sign should switch, let's solve it this way.
-5x > 25
0 > 25 + 5x Add the 5x to both sides.
-25 > 5x Subtract the 25 from both sides
-5 > x Divide by 5 from both sides.
As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.
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