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Trail_Builder
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stupid error in the "tex" thing, see first post.
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Trail_Builder said:Find the set of real numbers [tex] x \neq 0[/tex] such that [tex]2x + 1/x < 3[/tex]:
I then manipulated 2x + 1/x < 3 to get to
[tex]\frac{(2x-1)(x-1)}{x} < 0[/tex]
Im pretty sure up till there is right, but it's the next stage that I think my working in dubious. I'm pretty sure I can't times both sides by x because it could be negative, could be positive.
Trail_Builder said:...the 2nd and 4th possiblilities are impossible so that leaves
1/2>x<1
or
x<0
the first doesn't work either because it says find real numbers and subbing in "1" give 3<3, which is false.
so then i conclude the answer has to be [tex]x \leq -1[/tex]is this right? i know i probably did it wrong, but need to know where I went wrong, thnx.
Inequalities can help fix Tex errors by providing a range of values that can be used to solve the equation or expression. By using inequalities, you can narrow down the possible solutions and identify the exact cause of the error.
Some common types of inequalities used to fix Tex error include linear inequalities, quadratic inequalities, and rational inequalities. These can be solved using various methods such as graphing, substitution, or elimination.
Yes, inequalities can be used as a preventive measure to avoid Tex error. By establishing a range of values that are acceptable for the variables in an equation, you can ensure that the equation will not produce any errors.
Yes, there are certain rules that should be followed when using inequalities to fix Tex error. Some of these rules include keeping the inequality sign consistent, avoiding division by zero, and making sure that all terms are accounted for on both sides of the inequality.
No, inequalities are not applicable to all types of equations. They are mainly used for solving equations and expressions involving inequalities, such as greater than, less than, and not equal to. Inequalities cannot be used for equations that require finding an exact solution.