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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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