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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

  • A. -9
  • B. -9
  • C. -9
  • D. -9

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:

x > -17/2 rounded up to the nearest integer is -8

So, the least integer value of x for which y is less than 9 is -8. Therefore, the answer is -8.


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