Question

Solve the inequalities by graphing. Identify the graph that shows the following equations.

5x + 6y > 1
y - x < 0

Answer 1

Option (7)

Explanation:

5x + 6y > 1

6y > -5x + 1

y >
`(1)/(6)(-5x+1)`

y-intercept of the line =
`(1)/(6)=0.167`

Shaded area will be above the dotted line y =
`-(1)/(5)x+(1)/(6)`

y - x < 0

y < x

As y-intercept of the line is zero, given inequality will pass through (0, 0).

And the shaded area will be below the line.

Therefore, graph shown in Option (7) will be the correct option.