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1 . If x is an integer and y=-2x-8 , what is the least value of x for which y is less than 9?

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Answer: Option B

Explanation:

To find the least value of x for which y is less than 9, we can solve the inequality:

y < 9

Given that y = -2x - 8, we can substitute this expression into the inequality:

-2x - 8 < 9

Now, let's solve for x:

-2x - 8 < 9

First, add 8 to both sides of the inequality:

-2x - 8 + 8 < 9 + 8

-2x < 17

Next, divide both sides by -2. Remember that when dividing by a negative number, the inequality sign flips:

x > -17/2

Now, we want to find the least integer value of x that satisfies this inequality. Since x is an integer, we round up to the nearest integer:

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