Question

If x = -3, then which inequality is true?

a) 0 - 5x + 2 < 12
b) 0 - 3x - 16
c) 14 + 2x < 5
d) 12x + 6 > 11

Answer 1

Answer: b)

Step-by-step explanation:

a) 0 - 5x + 2 < 12

0+15+2<12

17<12

12 is not greater than 17

b) 0 - 3x - 16

uh I think you forgot the other number that should go like <,=,≻,≥ or ≤

maybe I'm wrong sorry ;;!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

c) 14 + 2x < 5

14 + 2*-3 < 5

14 -6 < 5

8 < 5

5 is not greater than 8

d) 12x + 6 > 11

12*-3 + 6 > 11

-36+6 > 11

-30 > 11

-30 is not greater than 11

Answer 2

After substituting x = -3 into each of the inequalities, none of them result in a true statement. Therefore, the correct answer is none of the above.

Step-by-step explanation:

When given that x = -3, we should substitute this value into each of the inequalities and determine which one is true.

1. 0 - 5x + 2 < 12 becomes 0 - 5(-3) + 2 < 12, which simplifies to 15 + 2 < 12. This is not true, since 17 is not less than 12.
2. 0 - 3x - 16 is not a complete inequality, so we cannot determine its truth value.
3. 14 + 2x < 5 becomes 14 + 2(-3) < 5, which simplifies to 14 - 6 < 5. This is not true, because 8 is not less than 5.
4. 12x + 6 > 11 becomes 12(-3) + 6 > 11, which simplifies to -36 + 6 > 11. This is not true, as -30 is not greater than 11.

Based on the calculations above, none of the inequalities a, b, c, or d become true when x = -3.