Answer:
-1
Step-by-step explanation:
Since we have the linear equation, 2x-5, and it's increasing since the slope is positive, that means we want the maximum x-value, to find the maximum y-value, or possible value.
This means, we want to find the maximum x-value of 2x+5 that is less than or equal to 9, and since we want the maximum x-value, we want the right side to also be the maximum, and since we have a less than or equal to symbol, we can have the equation equal to 9, which is the make value. So we get the following equation
[tex]2x+5=9\\[/tex]
Subtract 9 from both sides
[tex]2x=4[/tex]
Divide both sides by 2
[tex]x=2[/tex]
This is the maximum x-value we can get from the inequality, and now we plug this into the equation 2x-5
[tex]2(2)-5[/tex]
4-1
-1
So the maximum value is -1
