Question

Which system of inequalities has this graph as its solution? i am quite confused on this subject and would like to be shown how this is done

Answer 1

Step 1

Given;

Required; To find the system of inequalities that will be the solution to the graph.

Step 2

Test the options

`Option\text{ B yields graph below}`

Points used include;

`For\text{ y>}(1)/(3)x+4;\text{ \lparen0,4\rparen,\lparen4.2,5.4\rparen,\lparen-12,0\rparen}`
`For\text{ y>2x-3; \lparen4.2,5.4\rparen,\lparen1.5,0\rparen,\lparen0,-3\rparen}`

The line is broken since equality is not involved if the sign > or equal to was used the line will be continuous.

The answer thus is;

`Option\text{ B}`