The sum of two numbers, x and y, is more than 8.
When you double x and add it to y, the sum is less
than 14. Graph the inequalities that represent this
scenario on the set of axes below.

see below

Step-by-step explanation:

so your two inequalities would be

x+y>8

and

2x+y<14

we can put both of these into slope intercept form

y>-x+8

y<-2x+14

and now we can graph!

see image attached:

both lines are dotted because it is greater than and less than, not equal to.

slope intercept form is y=mx+b which is y=slopex+y intercept

we can first plot the y intercept and use the slope to find the other points

slope is rise/run