Question

1. solve the following inequality to find a range of values for x : -18 < x -7 < -6

2. solve the following inequality to find a range of values for x : -96 < -12x < -12

Answer 1

For the first one just add 7 to each part of the inequality.
that will leave x alone in the middle.

For the second one, this gets a little tricky.

You have to divide each part of the inequality by -12. Whenever you multiply or divide and inequality by a negative number you have to change the direction of the inequalities.

8> x > -1

Saying 8 is greater than 8 and x is greater than -1

is the same thing as saying -1 is less than x and x is less than 8.

we can right the answer in the normal format.

-1 <x <8

Answer 2

thank you, Dr. Jane
Can i ask two more question

1. solve the following inequality to find a range of values for x: -11 < -4-x < -7

2. solve the following inequality to find a range of values for x: -25 < -x < -10

Answer 3

1. solve the following inequality to find a range of values for x: -11 < -4-x < -7

2. solve the following inequality to find a range of values for x: -25 < -x < -10

Answer 4

1. you have to add 4 to each part of the inequality and then divide by -4. That will cause the same reversal as above. Be careful with that final answer.

2. Multiply each part by -1

25>x>10

You have to turn this around for your final answer.. Like we did above.