Mathematics

Grade9

Easy

Question

# Use the Hinge theorem and its converse and solve the following

What can be the x-value?

- X > 9
- X < 9
- X = 9
- X > 10

Hint:

### Use Hinge's Theorem to find the range of the x.

## The correct answer is: X < 9

### Given That:

>>> Using Hinge's Theorem:

-> 5x + 3 < 4x + 12

-> 5x – 4x < 12 – 3

X < 9

>>> Therefore, the range of x is (-3,9).

X < 9

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