Q:

What is the inequality shown in the graph?10x – y < 10.1x – y < 10.1x – y > 110x – y > 1C. is the answer

Accepted Solution

A:
Answer:   0.1x – y > 1Step-by-step explanation:The boundary line has a small positive slope (rise over run), so the inequality will be 0.1x + ... rather than 10x + ....The graph is shaded to the right of the boundary line, so for x values greater than those on the line. That means the inequality is ...   0.1x - y > 1 . . . . . . . . the form is ... x is greater than some value_____If you like, you can restructure this inequality to the form ...   y < 0.1x -1 . . . . . . slope-intercept formso you can better see that the y-intercept is -1 (true for all of the choices) and the slope is 0.1. You can also see in this form that the shading will be for y-values below those on the boundary line._____Comment on shading directionI find it easiest to find a variable in the equation that has a positive coefficient and look to see what the comparison operator is in relation to that:  ( )x + ... > ...        will be shaded to the right of the line  ( )x + ... < ...        will be shaded to the left of the line  ( )y + ... > ...        will be shaded above the line  ( )y + ... < ...        will be shaded below the lineWhen the inequality here is written in the slope-intercept form shown above, you can see that the shading will be below (y < ...) and to the right (x > ...) of the line. Since the line has positive slope, these descriptions of the shading both describe the same thing.