graph the solution set of x>-3?

Question

The > is underlined. If someone could at least explain in more detail how to do this it would be greatly appreciated. I have quite a few graphing problems and just don't get them.

Another example would be solve and graph the solution set of each inequality. 3x>2x-4 again the > is underlined.

Answer 1

i hope wat u mean by greater than underlined is x ≥ -3 ... it means x is greater than or equal to -3.

When we draw x>-3, its obvious that the whole graph that lies right to the line x=-3 is the solution to it. So, wat we have to do is draw the line x=-3 in dotted line and shade (by slanting lines) the right of it. This is x > -3

For x≥-3, we have to include the line x=-3 also. So, instead of drawing dotted line, x=-3 shud be drawn as a normal solid line and the right of it shud be shaded.

Now, 3x≥2x-4 is same as x≥-4 ... follow same steps as above.

I have assumed that u are supposed to draw these in 2d coordinate axis. however, if u r supposed to draw it on a number line, the procedure is slightly different. For x>-3, you hv to put a round bracket '(' at -3 and darken the number line to the right of it. For x≥-3, put a square bracket '[' or a line '|' at -3 and darken the line to the right of it.

Answer 2

The underline underneath the > means or equal to. Instead of just standing for greater than, your variable can also be equal to that number.

To graph, simply substitute a = in for the inequality sign, > or <. So, you are left with x=(-3), which is a vertical line. Now, if the sign is greater than, which it is, shade to the right of the line. If the sign is less than, in other problems perhaps, shade to the left.

The equal to part of the inequality signifies its a solid line, if there was no equal to, the line would be dotted.

Basically, you are getting a visual solution set to a problem of yours.

Now for the second problem, 3x>2x-4:

Substitute a = for the > and solve for your variable. So:

3x=2x-4
-2x -2x
-------------------
x=(-4)

Now that you know the variable, plug the inequality sign back in which gets us:

x>(-4)

Using the technique we used in the first problem, you should be able to figure out what the graph looks like.

Also, when solving inequalities, if you divide by a negative number, you need to flip the sign. Just a little heads up.

If you do a problem and you are unsure you have the right answer you can plug a value of x in to the regular equation and see if it works. Obviously if x>(-4), something bigger than -4.

Hope that helps you out.

Answer 3

i dont get what you mean >underline know what when you read x>-3 (x is greater than -3) right? but in your problem i dont get it like your problem 3x>2x-4. that means 3x is greater than 2x-4 and not greater than symbol is underline. if you want to prove that i am expected that you will give the value of x so that we can prove your solution. if 3x is greater than 2x-4. hope next time you will be specific with your given problem especially in numbers.

Answer 4

while you're asserting -3-5x-a million+12?6 then: -5x?-2 5x?2 x?2/5 The integer answer set is 0, -a million, -2, -3.... ...-infinity The graph could be the area on the line x=2/5 and to the left of it.