19) Solve the inequality: − 3x + 7 <− 2
a. x <− 3
b. x >− 3
c. x > 3
d. x < 3
To solve the inequality: -3x + 7 < -2, we need to isolate the variable x.
First, we can subtract 7 from both sides of the inequality to get:
-3x < -2 - 7
-3x < -9
Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to change the direction of the inequality sign:
x > (-9)/(-3)
x > 3
Therefore, the solution to the inequality is: x > 3.
Answer: c. x > 3