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Question

Given that x is an integer, find the values of x which satisfy the simultaneous linear inequalities 2+x<6 and 23x<1.

A
2,3
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B
1,2,3
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C
2,3,4
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D
1,2,3,4
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Solution

The correct option is A 2,3
2+x<6
Add 2 on both sides, we get
2+x2<62
x<4
23x<1
Add 2 on both sides, we get
23x2<12
3x<3
3x÷(3)>3÷(3)
x>1
Then, 1<x<4 is 2,3.

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