Question

Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. The sum of twice x and 3 times y is less than 6. Also, y must be greater than 1 less than twice the x. What are some possible solutions to graph?

Answer 1

how would you write
"The sum of twice x and 3 times y is less than 6"
with symbols?

Answer 2

x^2+3y-6

Answer 3

twice x means "two times x"
"less than six" is written as "<6"

Answer 4

2x < 6

Answer 5

you still need to add the 3y

Answer 6

2x+3y<6

Answer 7

good, now what about the other phrase:
"y must be greater than 1 less than twice the x"
how would you write that?

Answer 8

y>1-2x

Answer 9

good, now write both inequalities so that the inequality sign is facing the same way

Answer 10

2x+3y<6
2x-1<y

Answer 11

good, now add them

Answer 12

together?

Answer 13

yes, add the left hand sides and keep them on the left, and add the right-hand sides and keep them on the right

Answer 14

ohh ok thanks

Answer 15

no problem, let me know how it goes