Question

Which x-values satisfy both inequalities: \(30 > x\) and \(x > 15\)?

a) \(x = 15\)
b) \(x = 22\)
c) \(x = 29\)
d) None of the above

Answer 1

Option b) x = 22 and option c) x = 29 both satisfy the inequalities 30 > x and x > 15, meaning that d) None of the above is incorrect.

Step-by-step explanation:

To find which x-values satisfy both inequalities, 30 > x and x > 15, we need to consider the values given in the options. We can disregard option a) x = 15 immediately, as it does not satisfy the second inequality (x > 15). Option b) x = 22 satisfies both inequalities as it is greater than 15 and less than 30. Option c) x = 29 also satisfies both inequalities. Therefore, option d) None of the above is incorrect because options b) and c) are both valid solutions for x.