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Q: How can you use a number line to represent solutions of an inequality?
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What are All points on a number line that represent the solution to an inequality?

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What does a dashed line represent on a graph?

It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.


Write an inequality for each sentence Graph the solutions of each inequality on a number line r is not greater than five?

r <= 5.


Why is graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality?

because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.


Which compound inequality is graphed on the number line?

Any compound inequality, in one variable, can be graphed on the number line.


Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?

An equation has an equal sign, which means that we know what the variable is equal to :)


In the graph of a linear inequality the shaded region above or below the line is called?

The shaded region above or below the line in the graph of a linear inequality is called the solution region. This region represents all the possible values that satisfy the inequality. Points within the shaded region are solutions to the inequality, while points outside the shaded region are not solutions.


When graphing inequalities where can solutions be found?

I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.


Can a pair of linear equation have exactly two solutions?

No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).


Why is a linear equation shaded?

Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "


What does the graph of a line represent?

It represents all solutions to the linear equation.


How can we determine inequality using position on a number line?

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