Question

Graph the solution set of the following linear inequality:6y - 7x > 6y - 56AnswerKeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever a value is updated. Theregions will be added once the line is drawn.Choose the type of boundary line:Dashed (-O Solid (-) O--)SEnter two points on the boundary line:X10-5510Dicc-SISelect the region you wish to be shaded:ОАOB10]

Answer 1

x < 8

dashed line.

Step-by-step explanation:

First, let us solve the inequality for x.

`6y-7x>6y-56`

Subtracting 6x from both sides gives

`6y-7x-6y>6y-56-6y`
`-7x>-56`

Dividing both sides by -7 flips the directions of the inequality to give

`x<(56)/(7)`
`x<8`

This tells us that all values of x less than 8 are solutions to the inequality.

The term "less than" means that we use a dashed line to represent our solution.

The two values that lie on the boundary line are ( 8, 3) and ( 8, 4). Note that these boundary points are not the solutions to the inequality.