Question

Solve: |2x - 7| < 13

Answer 1

Case I

2x - 7 < 13

2x < 20

x < 10

case II

- (2x - 7) < 13

2x - 7 > -13

2x > -6

x > -3

Answer 2

solve it as:
2x - 7=13

Note: The inequality only changes its sign, if a number with "- minus" sign is shifted to other side of "= equal" sign

Answer 3

2x + 7 =< 13
2x = 13 - 7..........By transporting + 7 to the other side makes it - 7.
2x = 6.................By subtracting 13 from 7 the result is 6 as 7 + 6 = 13.
x = 6/2................By transporting 2 X x to the other side makes it 6 / 2.
x = >-3...................By dividing 6 and 2 result is 3 as 2 X 3 = 6.