Question

Which of the following inequalities matches the graph? (see attached photo)

A y less than or greater to –one halfx - 4
B y > –one halfx - 4
C y < –one halfx - 4
D The correct inequality is not listed.

Answer 1

It looks like the slope of the line is -1/2 x, and the y-intercept is -4.

The shaded region is below this line so that means y is less than -1/2 - 4
If the line was solid instead of dashed it would be y <= -1/2 x - 4 but since it is dashed we just say y < -1/2 x - 4

Answer 2

@LogicalApple so it be C

Answer 3

Yes

Answer 4

could you help me with another

Answer 5

ok

Answer 6

Which of the following inequalities matches the graph? (See attached photo)

A -6x + y < 3
B 6x + y < 3
C 6x - y < -3
D The correct inequality is not listed.

Answer 7

Can you identify the slope of this line ?

Answer 8

(-6,3)?

Answer 9

It's hard to say but it looks like that is a slope of 6x with a y-intercept of 3

So the equation of the line is y = 6x + 3
But since the shaded region is above the line this becomes

y > 6x + 3

Rewriting this becomes

y - 6x > 3

Then if we multiply both sides by -1 and change the inequality:

6x - y < -3

Answer 10

@LogicalApple thank you, can you help me with another

Answer 11

ok

Answer 12

Which of the following inequalities matches the graph? (see attached photo)

A x greater than or equal to -7
B x less than or greater to -7
C y less than or greater to -7
D y greater than or equal to -7

Answer 13

Do you mean "less than or equal to" for B and C?