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. Which graph represents the possible solutions? Graph the inequalities 2 x plus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 2 x minus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 3 x minus 2 y less than 6 and y greater than 3 x minus 2 Graph the inequalities 3 x minus 5 y less than 6 and y greater than 3 x plus 2

Answer 1

the answer is A option 1

Explanation:

Answer 2

The correct option is 1.

Explanation:

Let the two numbers are x and y.

Condition 1: The sum of twice x and 3 times y is less than 6.

`2* x+3* y<6`

`2x+3y<6` ..... (1)

Condition 2: y must be greater than 1 less than twice the x.

`y>2* x-1`

`y>2x-1` .... (2)

Therefore the graph of inequality (1) and (2) represent the all possible solutions.

Option 1 is correct. The graph of above inequality are shown below.