Is x greater than or equal to 3?
Inequalities
| x≠3 | x is not equal to 3 |
|---|---|
| x<3 | x is less than 3 |
| x>3 | x is greater than 3 |
| x≤3 | x is less than or equal to 3 |
| x≥3 | x is greater than or equal to 3 |
How do you graph x is greater than 3 on a number line?
To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
Can you graph x 3?
A graph of x=3 would simply be a vertical line through x=3 . Because there is no y value or y intercept, we assume the slope in undefined, therefore, the line goes strictly vertically through x=3 .
How do you graph greater than?
There are three steps:
- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).
What is X 3 graph called?
cubic function
The “basic” cubic function is f(x) = x3. You can see it in the graph below. In a cubic function, the highest power over the x variable(s) is 3.
What does greater than equal mean?
inequality
The greater than or equal to symbol is used to represent inequality in math. It tells us that the given variable is either greater than or equal to a particular value. For example, if x ≥ 3 is given, it means that x is either greater than or equal to 3.
What does the statement x is less than 3 mean?
The mathematical statement x < 3, read as “x is less than 3,” indicates that the variable x can be any number less than (or to the left of) 3. Remember, we are considering the real numbers and not just integers, so do not think of the values of x for x < 3 as only 2, 1,0, – 1, and so on.
What’s the difference between an inequality and a dot on a graph?
The difference is that, since an inequality shows a set of values greater than or less than, your graph will show more than just a dot on a number line or a line on a coordinate plane. By using algebra and evaluating the inequality sign, you can determine which values are included in the solution of an inequality.
How to graph an inequality on a line?
Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, ‘3’ in this case and color in everything above or below it. if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below
How to shade an area in a graph?
Shade the area below (because y is less than or equal to) 1. We will need to rearrange this one so “y” is on its own on the left: 2. Now plot y = x/2 + 3 (as a solid line because y≤ includes equal to) 3. Shade the area below (because y is less than or equal to)