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Solving Linear Inequalities - Example 3

In mathematics, an inequality is a statement which is either true or false, but not both. In other words, inequalities are truth values. The opposite of an inequality is an equality. In mathematics, inequalities are represented with a less-than or greater-than symbol (?, ?).

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Alisa L.

University of Texas at Austin

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University of California, Berkeley

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Oregon State University

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Algebra 2

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negative, too. Tom's Tu minus two X minus four Tom's X Plus five is less than or equal to negative 24. Just like it was an equation. Before we can begin solving, we need to go ahead and simplify. I've got some parentheses, so let's get rid of our parentheses by doing distributive property. So negative two times two is negative. Four Negative two times negative. Two x is positive for X negative. Four times X is negative. Four x and negative. Four times five is negative. 20 at all of that is still less than or equal to negative 24. Now we can go ahead and combine like terms. Well, I have a negative four and a negative 20 and those combined will give me a negative 24 Also have a four X and a negative for X. Well, if I combine those, I get a zero X. Well, another way of writing zero X is actually just to cancel it out. I don't need to write zero X. So what I have is negative. 24 is less than or equal to negative 24. At this point. In order to get my answer, I need to look and see if if my statement is true or false, because at this point, I know that I'm either gonna have and all riel numbers. Answer, or I'm going to have a no solution. Answer. Now, in all real numbers, answer means that I have a true statement. No solution means I have a false statement. Well, negative 24 is less than or equal to negative 24. This is actually true because they are equal to each other. So that means that my solution to this inequality is all riel numbers.

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Top Algebra 2 Educators
Alisa L.

University of Texas at Austin

AH
Ahyeon H.

University of California, Berkeley

Shubham P.

University of Washington

Heather Z.

Oregon State University

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