1)
Ms. Sung is not able to spend more than 320 per month.
The best inequality for this would be
320 - 4x ≥ 0
Where x is the amount she spends per shopping trip
2)
x = 5 so let’s plug in 5 for x
It seems as if your inequalities glitched so I’m unable to help you directly.
a.
-2(5) (something) 12
-10 (something) 12
If it’s the less than symbol, then it is true
If it is the greater than symbol, then it is false
If it’s the less than or equal to symbol, it is true
If it’s the greater or equal to than symbol, then it is false
b.
(5) - 2 (something) 7
3 (something) 7
If it’s the less than symbol, then it is true
If it is the greater than symbol, then it is false
If it’s the less than or equal to symbol, it is true
If it’s the greater or equal to than symbol, then it is false
c.
2(5) (something) 12
10 (something) 12
If it’s the less than symbol, then it is true
If it is the greater than symbol, then it is false
If it’s the less than or equal to symbol, it is true
If it’s the greater or equal to than symbol, then it is false
d.
(5) - 7 (something) 2
-2 (something) 2
If it’s the less than symbol, then it is true
If it is the greater than symbol, then it is false
If it’s the less than or equal to symbol, it is true
If it’s the greater or equal to than symbol, then it is false
3)
-4x = 42
Divide by -4
x = -10.5