Question

mrs.mueller writes an inequality on the board . the table shows the responses of four students for possible valuesjacob - 6kendra - 8luke - 10maya - 12which students has a correct response to Mrs. mueller's inequality ? which student

Answer 1

Given the inequality:

`(3)/(5)x>6`

The responses of the four students are:

jacob - 6

kendra - 8

luke - 10

maya - 12

To find the stdent with the correct response to the inequality, substitute each value for x, if the answer is greater than 6, then it satisfies the inequality.

We have:

`\begin{gathered} \text{Jacob: Substitute x for }6 \\ (3)/(5)\ast6>6 \\ \\ (18)/(5)>6 \\ \\ 3.6<6 \\ \\ 3.6\text{ is less than 6, therefore this does not satisfy the inequality} \end{gathered}`
`\begin{gathered} \text{Kandra: Substitute x for 8} \\ \\ (3)/(5)\ast8>6 \\ \\ (24)/(5)>6 \\ \\ 4.8<6 \\ \\ 4.8\text{ is less than 6, therefore this student is not correct} \end{gathered}`
`\begin{gathered} \text{Luke: Substitute x for 10} \\ \\ (3)/(5)\ast10>6 \\ \\ (3\ast10)/(5)>6 \\ \\ (30)/(5)>6 \\ \\ 6=6 \\ ^{}^{} \\ ^{} \\ 6\text{ is not greater than 6, therefore this student is not correct} \end{gathered}`
`\begin{gathered} \text{Maya: Substitute x for 12} \\ \\ (3)/(5)\ast12>6 \\ \\ (3*12)/(5)>6 \\ \\ (36)/(5)>6 \\ \\ 7.2>6 \\ \\ 7.2\text{ is greater than 6, therefore, Maya has a correct response.} \end{gathered}`

The student that has a correct re