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Value of x

by umaa » Wed Dec 31, 2008 4:30 pm

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If x+5>2 and x-3<7 the value of x must be between which of the following pairs of numbers?

A. -3 and 10

B. -3 and 4

C. 2 and 7

D. 3 and 4

E. 3 and 10
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by daisy » Wed Dec 31, 2008 4:39 pm
x+5>2 can be written as x > -3
x-3<7 can be written as x < 10

So answer should be (A)
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Re: Value of x

by logitech » Wed Dec 31, 2008 5:10 pm
umaa wrote:If x+5>2 and x-3<7 the value of x must be between which of the following pairs of numbers?

x+5>2

X> -3

-3 --------------------------------0--------------------------------->

x-3<7

X < 10


<---------------------------------0------------------------------10

combining both:

- 3 ---------------------------------0------------------------------10


A. -3 and 10
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by Jeff@TargetTestPrep » Mon Apr 09, 2018 3:42 pm
umaa wrote:If x+5>2 and x-3<7 the value of x must be between which of the following pairs of numbers?

A. -3 and 10

B. -3 and 4

C. 2 and 7

D. 3 and 4

E. 3 and 10
Let's isolate x in each inequality.

x + 5 > 2

x > -3

Next we simplify x - 3 < 7.

x - 3 < 7

x < 10

We know that x is greater than -3 and less than 10.

Answer: A

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