I need help with the question below :(

Question

Christina wants to discover the possible combinations of fruit in her grandma's kitchen knowing just a few pieces of information. She knows the total number of apples and pears is at most five and the number of apples is more than twice the number of pears. Which of the following graphs represents the possible fruit combinations?

Answer 1

A+P < 5

A>2P

Plot 2 points for the 1st inequality (5,0) and (0,5) with a line connecting them.

It's a downward sloping line with slope =-1

For the 2nd inequality plot (0,0) and (2,1) It's an upward sloping line with slope = 1/2.

Pears are measured on the x or P horizontal axis, Apples on the y or vertical A axis.

Make the 2nd line dotted, as it does not include points on the line

shade below the 1st line and above the 2nd line. where they overlap is the solution set

P

Apples Pears

0 5 or less

1 4 or less

2 3, 2 or 1

3 2 or 1

4 1

5 0

the above possibilities satisfy the 1st equation, they sum to 5 or less

but the only ones that have A=2P or more, are (5,0) or (1,4)

5 apples and no pears or 1 apple and 4 pears

She either has 5 apples and no pears

or 1 apple and 4 pears