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Question
Which of the following option(s) is(are) correct?
Which of the following option(s) is(are) correct?
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Solution
The correct option is C −3>−5>−7
Let's compare the numbers in all the options on the number line one by one.
As we know, on the number line, numbers on the right side are greater, i.e., the numbers on the left side are smaller.
In the above number line,
1 is at the right of 0⟹1>0
Similarly, 0 is at the right of −1⟹0>−1
∴1>0>−1–––––––––––––
In the above number line,
−5 is at the left of 0⟹−5<0
Similarly, 0 is at the left of 5⟹0<5
∴−5<0<5–––––––––––––
In the above number line,
−3 is at the right of −5⟹−3>−5
Similarly, −5 is at the right of −7⟹−5>−7
∴−3>−5>−7–––––––––––––––––
Hence, all three given options are correct.
Let's compare the numbers in all the options on the number line one by one.
As we know, on the number line, numbers on the right side are greater, i.e., the numbers on the left side are smaller.
In the above number line,
1 is at the right of 0⟹1>0
Similarly, 0 is at the right of −1⟹0>−1
∴1>0>−1–––––––––––––
In the above number line,
−5 is at the left of 0⟹−5<0
Similarly, 0 is at the left of 5⟹0<5
∴−5<0<5–––––––––––––
In the above number line,
−3 is at the right of −5⟹−3>−5
Similarly, −5 is at the right of −7⟹−5>−7
∴−3>−5>−7–––––––––––––––––
Hence, all three given options are correct.
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