Answer:
[tex]a = 7[/tex]
Step-by-step explanation:
Given
[tex]x \leq 7[/tex]
[tex]x \geq a[/tex]
Required
Determine a
From [tex]x \leq 7[/tex], we can deduce that the maximum value of x is 7
Substitute 7 for x in [tex]x \geq a[/tex]
[tex]7 \geq a[/tex]
Reorder
[tex]a \leq 7[/tex]
This implies that the least value of a is 7
Substitute 7 for a in [tex]x \geq a[/tex]
[tex]x \geq 7[/tex]
So:
For [tex]x \leq 7[/tex] and [tex]x \geq 7[/tex] to be true, the value of a must be 7
