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If the inequality is strict (< or >) then the boundary is not included. Otherwise (≤ or ≥), it is.

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Q: Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
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How do you decide if a number is a solution to the inequality?

Substitute the number in place of the variable, and see whether the inequality is then a true statement.


How many ordered pairs of positive integers satisfly the inequality 4x plus 5y20?

If the inequality is &gt; (greater than) or &gt;= (greater than or equal to), then there are an infinite number of solutions. So let the inequality be &lt; (less than) or &lt;= (less than or equal to) x = 1: 5y &lt;= 16 so y = 1, 2 or 3 x = 2: 5y &lt;= 12 so y = 1 or 2 x = 3: 5y &lt;= 8 so y = 1 x &gt;= 4: 5y &lt;= 4 no solution. So whether the inequality is &lt; or &lt;= there are 6 ordered pairs.


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&gt;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.


How do you determine whether to use a solid or dashed line when graphing linear equation?

A dashed line is used when the equality is equal to and less than/more than. (&le;, &ge;) A solid line is used when the inequality is just less than/more than. (&lt;, &gt;)


How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?

It depends upon whether the inequality is strictly less than (&lt;), or if it is less than or could be equal (&le;). For example: if x &lt; 6, x can have any value less than 6, but cannot have the value 6; but if x &le; 6, x can have any value less than 6, but can also have the value 6. Or put another way, x = 6 is NOT a solution of x &lt; 6, but IS a solution to x &le; 6.

Related questions

How do you decide whether a number is a solution of an inequality?

Substitute the number in place of 'x' in the inequality, and see whether the statement you have then is true.


How do you decide if a number is a solution to the inequality?

Substitute the number in place of the variable, and see whether the inequality is then a true statement.


How can you tell whether the solution is an inequality?

That will all depend on what the question was!


How can the change in x affect the change in y in a inequality?

The answer depends on the nature of the inequality: whether it is linear, quadratic or has some other functional form.


What is a social-conflict theorist looking for when studying the labor market?

Whether inequality exist


How do you know whether to use an open circle or a closed circle when graphing an inequality?

If the inequality is &gt; or&lt; then it is an open circle. If it is greater than or equal to or less than or equal to, it is a closed circle.


Each number below is a solution of the inequality 2x plus 3 and gt7 EXCEPT?

I don't see any numbers below.One method to solve this is to replace each of the numbers in the inequality, do the calculations, and then check whether the inequality is satisfied. Another method is to get the general solution for the inequality, then check with each of the numbers.


What is slope-intercept inequality?

The slope-intercept inequality is an equation of the form y &lt; mx + c. The inequality can be reversed, and in both cases can be strict or not. In all cases the equality divides the Cartesian plane into two and the inequality determines which side of the straight line is the valid region, and whether or not the line itself should be included.


How can you tell whether an absolute value inequality is equivalent to a compound inequality with the word and or to a compound inequality with the word or?

Good question.Think about lxl > 3: x can be >3 or goes with or. < goes with and.


Which numbers in the set 2345 are the solutions to the inequality 16 3x 5?

That's not an inequality; an inequality needs a "greater than" or a "less than" sign. Those must have gotten lost when you typed the title. Anyway, basically you are supposed to replace the numbers one by one in the inequality, do the calculations, and see whether the resulting statement is true or not.


What is the difference between you have been married and you are married?

whether or not you are still married i suppose.


How do you solve a quadratic inequality when the expression is unfactorable?

Use the quadratic formula for the equality. Then, depending on the coefficient of x2 and the nature of the inequality [&gt;, &acirc;&permil;&yen;, &acirc;&permil;&curren;, &lt;], determine whether you need the open or closed intervals between the roots or beyond the roots.