Answer:
Explanation:
1. 3x + 1 < 10
= 3x < 10 - 1
= 3x < 9
= (3x < 9)/3
= x < 3
graph: 3 to x
3. -2x + 22 < 18
= -2x < 18 - 22
= -2x < -4
= (-2x < -4) -1 (so that x will be positive)
= 2x < 4
= (2x < 4)/2
= x < 2
graph: 2 to x
5. x/5 - 3 < 6
= x/5 < 6 + 3
= x/5 < 9
= (5) x/5 < 9 (5) multiply both sides by 5 to cancel the denominator of x)
= x < 45
graph: 45 to x
7. x/-2 + 1 > 4
= x/-2 > 4 -1
= x/-2 > 3
= (-2)x/-2 > 3(-2)
= x > -6
= -6 to x
9. -3x - 4 < 8
= -3x < 8 + 4
= -3x < 12
= (-3x < 12)/-3
= x < -4
= -4 to x
11. (-3/4)x + 2 > 11
= (-3/4)x > 11 - 2
= (-3/4)x > 9
= ((-3/4)x > 9)/ -3/4
= x > -9.75
graph: -9.75 to x