Answer: (2) C (3) D (7) C (8) C (13) E
Step-by-step explanation:
NOTES: Move all of the x's to the left side and the numbers to the right. Remember to flip the inequality symbol when multiplying or dividing a negative.
2) 2x + 4 < 5x + 3
-5x -5x
-3x + 4 < 3
- 4 - 4
-3x < -1
÷-3 ↓ ÷-3
x > -1/3
3) 12 - 4x ≥ 8
-12 -12
-4x ≥ -4
÷-4 ↓ ÷-4
x ≤ 1
7) ←-------·
-2
The arrow is pointing to the left so you will use the less than symbol (<).
It is a solid dot so there will be a line under the symbol (≤).
x ≤ -2
8) -2x - 4 < 3x + 21
-3x -3x
-5x - 4 < 21
+ 4 +4
-5x < 25
÷-5 ↓ ÷ -5
x > -5
13) ·-------→
-4
The arrow is pointing to the right so you will use the greater than symbol (>).
It is a solid dot so there will be a line under the symbol (≥).
x ≥ -4
