Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x + y, y - x, xy, y/x

Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: .

The solutions and possible values to the inequalities are:

Given that:

and

To calculate the possible values of , we simply add both inequalities; i.e.

This gives:

This means that the possible values of are between 16 and 19 (both exclusive). So, some possible values are:

To calculate the possible values of , we simply subtract the inequality of x from y; i.e.

This gives:

This means that the possible values of are between 4 and 5 (both exclusive). So, some possible values are:

To calculate the possible values of , we simply multiply both inequalities. i.e.

This gives:

This means that the possible values of are between 60 and 84 (both exclusive). So, some possible values are:

To calculate the possible values of , we simply divide the inequality of y by x. i.e.

This gives:

This means that the possible values of are between 1.67 and 1.71 (both exclusive). So, some possible values are:

Hence, the solutions and possible values to the inequalities are:

Read more about inequalities:

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x+y:

16<x+y<19

y-x:

3<y-x<6

xy:

60<xy<84

y/x:

10/7<y/x<2

Step-by-step explanation:

For x+y, it'll be

  6<x<7

+

  10<y<12

=16<x+y<19

y-x:

  10<y<12

--

  6<x<7

because of the negative sign the x inequality is reversed so it is -7<x<-6

and then you do the math and get 3<y-x<5

xy:

   10<y<12

x

   6<x<7

you multiply and get 60<xy<84

y/x:

  10<y<12

divided by

  6<x<7

now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6

Please give me a brainliest award. This took so long. I hope this helped.

she drove 134 miles

step-by-step explanation:

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve