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The solution to the inequality x^2 > 36 can be found by first determining the values that make the inequality true. To do this, we need to find the values of x that satisfy the inequality. Since x^2 > 36, we know that x must be either greater than 6 or less than -6. Therefore, the solution to the inequality x^2 > 36 is x < -6 or x > 6.

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ProfBot

6mo ago

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In the fallowing inequality determine if the graph would contain a solid or dotted line then determine If the solution is above or below the line?

To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (&gt;) or (&lt;). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (&gt;) or greater than or equal to (≥), the solution lies above the line; for less than (&lt;) or less than or equal to (≤), it lies below the line.


Is -5 a solution to this inequality x3?

"x3" is not an inequality. An inequality will have one of the following signs: less-than, less-than-or-equal, greater-than, greater-than-or-equal. for example: 3x - 5 &lt; 15


Is -6 a solution to the inequality x is greater than or equal to 6?

No.


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" (&acirc;&permil;&curren;) or "greater than or equals" (&acirc;&permil;&yen;) then the points on the line are included.


Is -4 the solution of an inequality x-4?

0


Each of the numbers below is a solution of the inequality 2x plus 3 greater than 7 except?

2x + 3 > 72x + 3 - 3 > 7 - 32x > 42x/2 > 4/2x > 2The solution is all real numbers greater than 2.


Is -4 a solution to the inequality x greater than or equal to 4?

No, -4 is not a solution to the inequality x ≥ 4. In order for -4 to be a solution, it must make the inequality true when substituted for x. Since -4 is less than 4, it does not satisfy the condition of being greater than or equal to 4. Therefore, -4 is not a solution to the inequality x ≥ 4.


When giving rules for graphing the solution of an inequality the author writes the arrow points in the same direction as the inequality sign. Explain what criteria must be placed on the inequaltiy for?

For the arrow to point in the same direction as the inequality sign, the inequality must be either &quot;greater than&quot; (&gt;) or &quot;less than&quot; (&lt;) for the open intervals, or &quot;greater than or equal to&quot; (≥) or &quot;less than or equal to&quot; (≤) for closed intervals. This indicates the direction of the solution set on the number line. If the inequality is &quot;greater than&quot; or &quot;greater than or equal to,&quot; the arrow points to the right; if it is &quot;less than&quot; or &quot;less than or equal to,&quot; the arrow points to the left.


What inequality is greater than or equal to -5?

An inequality has no magnitude. A number can be greater than or equal to -5, but not an inequality.


Which inequality has 20 as a solution?

To find the inequality with 20 as a solution, we can represent it as x &gt; 20, x ≥ 20, x &lt; 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.


Which number is a solution of the inequality 10.6 b?

The answer to this question is 14. The reason why is becasue 14 is greater than 14


What kind of compound inequality has no solution?

A compound inequality that has no solution typically involves conflicting conditions that cannot be satisfied simultaneously. For example, the inequality ( x &lt; 2 ) and ( x &gt; 5 ) has no solution because no number can be less than 2 and greater than 5 at the same time. Such contradictions arise when the ranges of the inequalities do not overlap.