Which value of x makes the inequality 2(8 – x) < 4 true? A. x = –16 B. x = –9 C. x = 4 D. x = 10
2 answers:
2(8 - x) < 4
Instead of testing each individual value of the inequality, let's solve it to determine which value makes it true.
Let's start by dividing both sides by 2.
2(8 - x)/2 < 4/2
8 - x < 2
Subtract both sides by 8
8 - x - 8 < 2 - 8
-x < -6
Multiply/Divide both sides by -1 (either one works)
[NOTE: Remember to reverse the inequality sign when dividing/multiplying by a negative number!]
x > 6
Thus, any x value that's greater than 6 will make the inequality true. That would be answer choice D. Happy studying~
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
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