Question

Which of the following is a solution to the inequality below?

-25 < 3 + 5j
j=-6
j = -8
j = -11
j = -4

Answer 1

The solution to the inequality -25 < 3 + 5j is j = -4.

Step-by-step explanation:

To find the solution to the inequality -25 < 3 + 5j, we need to substitute the given values of j and check which one satisfies the inequality. Let's try each option:

1. For j = -6, we have -25 < 3 + 5(-6), which simplifies to -25 < 3 - 30, or -25 < -27. This is not true, so j = -6 is not a solution.
2. For j = -8, we have -25 < 3 + 5(-8), which simplifies to -25 < 3 - 40, or -25 < -37. This is also not true, so j = -8 is not a solution.
3. For j = -11, we have -25 < 3 + 5(-11), which simplifies to -25 < 3 - 55, or -25 < -52. This is also not true, so j = -11 is not a solution.
4. For j = -4, we have -25 < 3 + 5(-4), which simplifies to -25 < 3 - 20, or -25 < -17. This is true, so j = -4 is a solution to the inequality.

Therefore, the solution to the inequality -25 < 3 + 5j is j = -4.