Question

If the value of x is -4, which inequality is true?

a) 2x + 5 < 4
b) -2x + 5 < 4
c) 3 + 4x > 4
d) -3 + 4x > 4

Answer 1

When x is -4, the only true inequality is a) 2x + 5 < 4. This is found by substituting x with -4 into each inequality and determining which resulting statement holds true.

Step-by-step explanation:

If the value of x is -4, we need to find which inequality is true based on this value. Let's substitute x with -4 in each inequality and see if the statement holds true:

• a) 2(-4) + 5 < 4 → -8 + 5 < 4 → -3 < 4 (True)
• b) -2(-4) + 5 < 4 → 8 + 5 < 4 → 13 < 4 (False)
• c) 3 + 4(-4) > 4 → 3 - 16 > 4 → -13 > 4 (False)
• d) -3 + 4(-4) > 4 → -3 - 16 > 4 → -19 > 4 (False)

Based on our calculations, the only inequality that is true when x equals -4 is a) 2x + 5 < 4.