-9 < -1 + 4x < 15.........Take the middle part and set it to >-9 on one side and set the middle to <15 on a different side. It should look like.....
-9 < -1 + 4x -1 + 4x < 15..... for both inequalities take care of your whole number first by adding 1 to both sides to have -1 go to zero on the x side.
-8< 4x 4x>16...... divide both sides of each inequality by 4 to have x all alone.
-2 < x and x>4......Answer
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8-x>15........subtract 8 to both sides to isolate x
(x is negative because 0 - x= -x)
-x > 7............multiply both sides by -1 to make x positive, we always solve for the positive version of the variable.
Multiplying or dividing both sides of an inequality by a negative number flips the inequality sign.
x< -7.......Answer
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6x-13>11.....add both sides by 13
6x>24........ divide both sides by 6 to isolate x
x>4.......Answer
When graphing the answers to inequalities, such as x>4.
Step 1- draw a number line that includes 4 in it.
Step 2- Put a open circle around 4 since it is greater than 4 , but is not equal to it.
Step 3- Shade to the right of the open circle, since your answer to the inequality is greater than 4.
