Question

Create Systems of Equations and Inequalities

Answer 1

say, she works \(g\) hours in grocery store, and \(t\) hours for tutoring

Answer 2

grocery : $9 per hour
tutoring : $15 per hour

so,
money she earns at grocery = \(9g\)
money she earns at tutoring = \(15t\)

total money she earns doing both = \(9g+15t\)

Answer 3

her goal is to earn more than $500 right ?

Answer 4

expressing the same in inequality :
\(9g + 15t > 500\)

Answer 5

also, she works in grocery more than twice the number of hours she works at tutoring :

\(g > 2t\)

Answer 6

so the required inequalities are :
\(9g + 15t > 500\)
\(g > 2t\)