# Write an inequality that describes the graphic

Again, you could also have started with arbitrary values of y. Example 1 The sum of two numbers is 5. Once it checks it is then definitely the solution.

I emphasize graphing them on separate axes, as in the next lesson will put it all together to create a feasible region.

If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. A common error that many students make is to confuse the y-intercept with the x-intercept the point where the line crosses the x-axis.

Make a table of values and sketch the graph of each equation on the same coordinate system. Step 3 Solve for the unknown. Look at both equations and see if either of them has a variable with a coefficient of one. Thus, we have the solution 2, This is called an ordered pair because the order in which the numbers are written is important.

Note that this concept contains elements from two fields of mathematics, the line from geometry and the numbers from algebra. As I circulate around the room, I double check to make sure students have incorporated and kept track of some of the extraneous math in this problem changing hours to minutes, and multiplying by 2 for the pampering time that happens twice per day.

Note again that the solution does not include the lines. The point - 2,3 is such a point. This is one of the points on the line. Step 4 Connect the two points with a straight line.

In this case we simply multiply each side by In other words, we want all points x,y that will be on the graph of both equations. Solve the system by substitution.

The exercise below will let us find out. On this number line, points B and A are our original values of 2 and 5. Many students forget to multiply the right side of the equation by To graph a linear inequality: In section we solved a system of two equations with two unknowns by graphing.

Note that the point of intersection appears to be 3,4. Solution We first make a table showing three sets of ordered pairs that satisfy the equation. Compare your solution with the one obtained in the example. The arrows indicate the line continues indefinitely.Fit an algebraic two-variable inequality to its appropriate graph.

If you're seeing this message, it means we're having trouble loading external resources on our website. Practice: Two-variable inequalities from their graphs. Intro to graphing systems of inequalities. Graphing systems of inequalities.

Practice: Systems of inequalities graphs. Watch video · Write an inequality that fits the graph shown below. So here they've graphed a line in red, and the inequality includes this line because it's in bold red.

It's not a dashed line. It's going to be all of the area above it. So it's all the area y is going to be greater than or equal to this line. So. In this lesson you will learn to create an inequality given a word problem by using algebraic reasoning.