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Q: What is the inequality 3 less than x on a number line?
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When will the graph of an equation inequality be a dotted line?

The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.


On a graphed inequality is a point that is on the line part of the solution?

It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.


How can you graph an inequality?

You have to graph an inequality on a number line. For example, x>3.The number 3 on the number line gets an open circle around it, and a line is extended to all the other possible equations.There is an open circle if it is a "greater than or less than" sign, and there is a shaded circle if there is "greater than or equal to, or a less than or equal to" sign.


When an inequality is graphed would you shade the line?

The line must be solid if the inequality is strict (less than or greater than). It must be a dashed line if otherwise (less than or equal to, greater than or equal to).


Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?

You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.


When graphing a linear inequality how do you know if the inequality represents the area below or above the line?

If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region, If the signnn is less than then it is below the line , if it is more than than it is above the line, that is the shaded region,


How do you determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line?

A parenthesis is used for a number which is an 'end' of an inequality but is not itself included. For example, if the inequality reads "x>3", there is an opening parenthesis on the hash-mark labelled '3', and the number line is shaded to the right. If the number IS included a bracket is used. So for -3 is less than or equal to x but less than 3, there is a [ on -3, and a ) on the 3, and the number line is shaded between -3 and 3.


Is a number an expression equation or inequality?

A number is an expression. It is not an equation, or an inequality, since it doesn't have an equal sign, or an inequality (greater than, less than, etc.) sign.


What determines if the line is dotted or straight for an inequality?

If it is a 'greater than' or a 'less than' then it's a dotted line. If 'less than or equal' or if it's a 'greater than or equal' then it's a solid line.


What happens when both sides of a less than inequality are multiplied or divided by a negative number?

The inequality sign becomes greater than (>).


Explain when to use a solid line as a boundary when graphing a linear in equality?

you use a solid line when the inequality is less than or equal to or greater that or equal to the dotted line is for less than or greater than


When graphing an inequality with one variablehow do you graph less than or greater than problem?

Arrange the inequality so that the variable is on the left. ex x < 7 If not equal to put an open circle at the number (7 in my example) if less than shade the number line to the left ( less than = shade left) if greater than shade right. If equal to put a point ( shaded dot) on the number follow same rules for shading