Question

can someone please help me with this math question? please I'll fan and give a medal...

Answer 1

show the steps to graph this equation
6x < 24 + 3y

Answer 2

There are more than just one way to graph this inequality (not equation, by the way).
The intercept method is one of the fastest:
Temporarily replace the < symbol with =
Find the y-intercept: Let x=0, and solve the resulting equation for y. Write (x,y).
Find the x-intercept: Let y=0, and solve the resulting equation for x. Write (x,y).
Draw a dashed line thru these two intercepts.

Choose a test point, e. g., (0,0). Substitute 0 for x and 0 for y. Is the resulting inequality true or false? If true, shade the side of your dashed line that includes the test point (0,0). Otherwise, shade the other side of your dashed line.

If you'll show your work, I'll gladly give you further feedback.

Answer 3

@mathmale I have a question--
when you said to find the y-intercept and Let x=0,
would I write the equation like this-
X=0
6(0)=24+3y

Answer 4

yes, then you'd solve that for y

Answer 5

so would y equal this?
y>2x−8 ?

Answer 6

@peachpi ?

Answer 7

yes, but that just makes the numbers smaller.
You still have to follow @mathmale's steps

Answer 8

If you set x=0 as I suggested, then you're left with 0 = 24 + 3y. Solve that for y. x should no longer appear in this equation; you've set it = to 0 already.

Answer 9

If 0 = 24 + 3y, then 3y = -24. Find y. Then write (x,y), the y-intercept.

Answer 10

y=-8

Answer 11

Yes. Your y-intercept is thus (0,-8). (because we purposely set x=0).

Answer 12

Now find your x-intercept. Set y=0 and find x. Write (x,y).

Answer 13

ok so would it look like this?
6x=24+0

Answer 14

Yes, and then x=4 when y=0. Write out the coordinates of this x-intercept, please.

Answer 15

(4,0)

Answer 16

Yes Plot these 2 points. Draw a line thru them. Choose a test point (as I explained earlier) to determine which side of your dashed line you should shade. Can you finish this problem on your own with the above info?

Answer 17

You will be finished when you've plotted these 2 points, drawn a dashed line through them, and then determined which side of the line should be shaded. Example:

Answer 18

Thank you soo much!! I have 3 more problems would you mind checking my steps?