Graphical Solution of inequality of the type x ≤ a
The number of...
Question
The number of integers which satisfy the inequality 5<x≤13 is
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Solution
5<x≤13 is a combination of 5<x and x≤13.
5<x can also be written as x>5 which represents the numbers greater than 5. x≤13 represents the numbers less than or equal to 13.
Hence, 5<x≤13 represents the numbers greater than 5 and less than or equal to 13.
Integers that satisfy the given inequality are 6,7,8,9,10,11,12,13.
Hence, required number of integers is 8.