1) 7x - 12 > 3x + 6Subtract 3x from both sides:4x - 12 > 6Add 12 to both sides:4x > 18Divide by 4:x > 4.5
2) 5(x + 3) > 7(x + 1) + 4Distribute:5x + 15 > 7x + 7 + 4Combine like terms:5x + 15 > 7x + 11Subtract 7x from both sides:-2x + 15 > 11Subtract 15 from both sides:-2x > -4Divide by -2 (and remember to flip the inequality sign since dividing by a negative):x < 2
3) 5 + |x| > 9Subtract 5 from both sides:|x| > 4This means that x is either greater than 4 or less than -4.
1) 7x - 12 > 3x + 6
Subtract 3x from both sides:
4x - 12 > 6
Add 12 to both sides:
4x > 18
Divide by 4:
x > 4.5
2) 5(x + 3) > 7(x + 1) + 4
Distribute:
5x + 15 > 7x + 7 + 4
Combine like terms:
5x + 15 > 7x + 11
Subtract 7x from both sides:
-2x + 15 > 11
Subtract 15 from both sides:
-2x > -4
Divide by -2 (and remember to flip the inequality sign since dividing by a negative):
x < 2
3) 5 + |x| > 9
Subtract 5 from both sides:
|x| > 4
This means that x is either greater than 4 or less than -4.