math
posted by gary on .
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

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 
thank you, Dr. Jane
Can i ask two more question
1. solve the following inequality to find a range of values for x: 11 < 4x < 7
2. solve the following inequality to find a range of values for x: 25 < x < 10 
1. solve the following inequality to find a range of values for x: 11 < 4x < 7
2. solve the following inequality to find a range of values for x: 25 < x < 10 
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.