Question

And ,-7(w-1)>63 wer in interval notation. Use decimal form for numerical value

Answer 1

To solve the inequality -7(w-1) > 63, divide both sides by -7, then add 1 to isolate w. The interval notation for w < -8 is (-∞, -8).

Step-by-step explanation:

The question relates to solving an inequality and expressing the solution in interval notation. Given the inequality -7(w-1) > 63, we begin by dividing both sides by -7, remembering to reverse the inequality sign as we are dividing by a negative number. This gives us w-1 < -9.

We then add 1 to both sides, obtaining w < -8. The solution in interval notation is (-∞, -8), which means w can be any number less than -8.

Steps to solve inequality:

1. Divide both sides by -7: (w - 1) < -9.
2. Add 1 to both sides: w < -8.
3. Express the solution in interval notation: (-∞, -8).