Solve the inequality −4y + 6 < −14.
A. y > 2
B. y ≤ 5
C. y > 5
D. y < 5
−4y + 6 < −14
To solve the given inequality, follow these steps:
Step 1: Start with the given inequality: -4y + 6 < -14.
Step 2: Subtract 6 from both sides to isolate the term with variable y: -4y + 6 - 6 < -14 - 6.
Simplifying, we get: -4y < -20.
Step 3: Divide both sides of the inequality by -4. However, remember that when dividing an inequality by a negative number, we must also flip the direction of the inequality.
So: (-4y)/-4 > (-20)/-4.
This simplifies to: y > 5.
Therefore, the solution to the inequality -4y + 6 < -14 is y > 5.
Hence, the answer is C. y > 5.
add 4y to both sides
add 14 to both sides
divide by 4