Question

Solve the inequality: −1<|2 x − 3|<7

Answer 1

Answer:

Step-by-step explanation:

1. subtract over the x on the right side of the inequality so you get 4x<16  divide 4 over to get x alone the inequality turns into x<4.

2. subtract over the x on the right side so you get 11x<22 divide over 11 to get x<2  

3. Add over 10 to get -8x>7x+30 subtract over 7x to get -15x>30 divide by -15 to get x<-2 make sure to flip over the sign since you're dividing by a negative  

4. Add over the 4 to get 13x<12x+3 subtract over 12 and get x<3

5. I can't solve five since their is no inequality sign, the answers show it both ways so i need a starting one to go off on but it is either A or B just flip over the original sign and that will be the answer .

6. Distribute the 7 to get 7x-14<-5 add over the 14 and get 7x<9 divide over the 7 and get x<9/7