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We say a solution to an inequality f(x) >= g(x) , is the set of all x such that the in equality is satisfied.

It will look like this: For all x >= (<=) something, the condition is satisfied. Now, write your question out.

x <= 5^2

Looks like a solution to me.

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Q: What values are solution to the inequality of x if less than or equal to 5 squared?
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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 :)


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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.


What i the solution to this inequality x- 25 is less than or equal to 33?

Just add 25 to both sides of the inequality - that way, you will isolate the "x", i.e., solve for "x".


How does solving linear inequalities differ from solving linear equations?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. Example 1. The equation: x - 3 = 7 has one solution, that is x = 10. Example 2. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of values of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. Example 3. The linear inequality x + 5 &lt; 9 has as solution: x &lt; 4. The solution set of this inequality is the interval (-infinity, 4) Example 4. The inequality 4x - 3 &gt; 5 has as solution x &gt; 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. Example: The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. Example: The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. Example : The half-closed interval [3, +infinity) ; the end point 3 is included.

Related questions

What is the solution to the inequality x squared is not equal to 36?

x &notin; {-6, 6}


Is there ever a time when the same value will be a solution for both the equation and the inequality?

Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.


What is a statement that two values are not equal?

An inequality


If you replace the equal sign of an equation an put an inequality sign in its place is there ever a time when the same value will be a solution to both the equation and inequality?

Yes, when the inequality has a less that or equal to sign, or a greater than sign or equal to sign, then the equal sign can be replaced and get a solution that is common to both the equation and the inequality. There can also be other solutions to the inequality, where as the solution for the equation will be a valid one.


What is inquality?

An inequality is when two values are not equal and it often specifically states in what way the values are unequal.


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

No.


Which graph shows the inequality x squared divided by 2 squared minus y squared divided by 2 squared greater than or equal to 1?

None of the graphs that I can see!


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


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 :)


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

0


Is 4 a solution to the inequality x4?

x^4 is not an inequality. (An inequality has a "bigger than or equal to/less than or equal to/less than/bigger than" sign involved. I.e not an "equals" sign, since this would be an "equality"). But x^4 is not an equality, nor an inequality.


What is the solution for x squared is less than or equal to 4?

2