Different Types of Inequalities and their Interpretation
If x>5, then ...
Question
If x>5, then the correct inequality according to the given diagram is .
A
x−2>3
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B
x−3>3
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C
x+1>3
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Solution
The correct option is Ax−2>3 Given, x>5 x>5 can be represented as,
Now, to get to the diagram given in the question, i.e.,
We need to shift 2 units to the left side. ∴ Subtracting 2 from both the sides of the inequality x>5 ⇒x−2>5−2 ⇒x−2>3, whose diagram is shown in the question.