Answer: True
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Reason:
Replace x with 4 in each inequality
x > 0 becomes 4 > 0 which is true
x < 7 becomes 4 < 7 which is also true
Both inequalities are true, which confirms x = 4 is a solution.
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If you wanted, you can think of x > 0 as 0 < x
Then we have 0 < x and x < 7 become 0 < x < 7
Replacing x with 4 has 0 < 4 < 7 as a true statement.