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Please explain the AND, OR part of the compound inequalities. Let's say I'm given-- let's say that 4x minus 1 needs to be greater than or equal to 7, or 9x over 2 needs to be less than 3. Other sets by this creator. Hope that helps:-)(40 votes). It is necessary to first isolate the inequality: Now think about the number line. Once again, we conclude that the answer must be between -10 and 10.

Which Inequality Is Equivalent To X-4 9

We solved the question! Here, this is much more lenient. Inequalities are demonstrated by coloring in an arrow over the appropriate range of the number line to indicate the possible values of. And then x is greater than that, but it has to be less than or equal to 17. Solution to: All numbers whose absolute value is less than 10. Which inequality is equivalent to x-4 9. So let's subtract 2 from both sides of this equation, just like we did before. Now let's do the other constraint over here in magenta. In general, note that: - is equivalent to; for example, is equivalent to. In those terms, this statement means that the expression. The given statement is therefore true for any value of. In mathematics, inequalities are used to compare the relative size of values. So let's just solve this the way we solve everything.

Which Inequality Is Equivalent To X 4 9 X 2

Each of these represents the relationship between two different expressions. Divide both sides by 4. Let's get this 2 onto the left-hand side here. A compound inequality may contain an expression, such as; such inequalities can be solved for all possible values of. Solving an inequality that includes a variable gives all of the possible values that the variable can take that make the inequality true. In the last few videos or in the last few problems, we had to find x's that satisfied both of these equations. Want to join the conversation? Often, multiple operations are often required to transform an inequality in this way. 12 Free tickets every month. Which inequality is equivalent to x 4 9 x 2. At10:49, Is there some way to write both results as an interval?

Now let's do this other condition here in green. So we could rewrite this compound inequality as negative 5 has to be less than or equal to x minus 4, and x minus 4 needs to be less than or equal to 13. Strict inequalities differ from the notation, which means that a. is not equal to. More complicated absolute value problems should be approached in the same way as equations with absolute values: algebraically isolate the absolute value, and then algebraically solve for. If I do that, I get two X minus three y is greater than four. Inequalities Calculator. Note that it would become problematic if we tried to multiply or divide both sides of an inequality by an unknown variable. The brackets and parenthesis are used when answering in interval notation. When solving inequalities that involve an an absolute value within a larger expression (for example, ), it is necessary to algebraically isolate the absolute value and then algebraically solve for the variable. The "smaller" side of the symbol (the point) faces the smaller number. That is not the proper way of showing a compound inequality, so it does not really have any meaning. Jared has a boat with a maximum weight limit of 2, 500 pounds. Recall that equations can be used to demonstrate the equality of math expressions involving various operations (for example:). On the left-hand side, you get an x. By playing with numbers in this way, you should be able to convince yourself that the numbers that work must be somewhere between -10 and 10.

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