Answer:
Step-by-step explanation:
a. 4x > 12
Dividing both sides by 4 gives x > 3.
To graph the solution, we can represent all values of x greater than 3 on a number line. We shade to the right of 3 to show that x can be any value greater than 3.
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0 1 2 3 4 5 6 x
shaded region
b. x/4 < -12
Multiplying both sides by 4 gives x < -48.
To graph the solution, we represent all values of x less than -48 on a number line. We shade to the left of -48 to show that x can be any value less than -48.
<---|---|---|---|---|---|---|---|
-6 -5 -4 -3 -2 -1 0 x
shaded region
c. -4x > 12
Dividing both sides by -4 and flipping the inequality gives x < -3.
To graph the solution, we represent all values of x less than -3 on a number line. We shade to the left of -3 to show that x can be any value less than -3.
<---|---|---|---|---|---|---|---|
-6 -5 -4 -3 -2 -1 0 x
shaded region