Adam needs both small and large cones to set up for a soccer practice. He knows there are fewer than 30 cones in the storage roo
m. He needs at least a dozen large cones. Let x represent the number of small cones and y represent the number of large cones. Select all inequalities that model this situation. x>0 y≥12 x+y≤30 y>12 x≥0 x+y<30
X: <span>the number of small cones y: </span><span> the number of large cones
a "dozen" means 12.
"</span>Adam needs both small and large cones to set up for a soccer practice<span>" mean that x must not be 0, and y must not be 0.
"</span>there are fewer than 30 cones in the storage room." mean that : x+y<30
"He needs at least a dozen large cones." means that y≥12
so we have:
i) x≠0, y≠0, that is x>0, y>0
ii) x+y<30
iii) y≥12
now let's check all choices we have:
<span> x>0 True by i y≥12 True by iii x+y≤30 Not True by ii (x+y is smaller than 30, the sum cannot be 30) y>12 Not true by iii (y may be = 12) x≥0 Not true by i, Adam needs small cones to (so we are assuming there are some in the storage room. Though this is open to interpretation) x+y<30 True</span>