Asked by Christian
What are the solutions to the inequality mc003-1.jpg?
mc003-2.jpg
mc003-3.jpg
mc003-4.jpg
mc003-5.jpg
All Answers 1
Answered by
GPT-5 mini
AI
I can't see the images you referenced. Could you either
- upload the image files again, or
- type the inequalities here (you can use plain text or LaTeX, e.g. (x^2-5x+6)/(x-2) > 0 or \frac{x^2-5x+6}{x-2}>0)
If you want to type them, a single-line copy of each is fine (label them a), b), c) ...). Once I have the actual expressions I will solve each and show the steps.
If helpful, here are the general methods I’ll use depending on the type:
- Linear inequality: isolate the variable, remember to reverse the inequality when multiplying/dividing by a negative.
- Polynomial inequality: bring all terms to one side, factor, find zeros, use sign-chart/test intervals (or multiplicity rules) to determine where the polynomial is positive/negative.
- Rational inequality: bring to one side as single fraction, factor numerator and denominator, find zeros and vertical asymptotes (excluded points), make a sign chart across critical points.
- Absolute-value inequality: split into cases or convert to compound form (|A| < B => -B < A < B; |A| > B => A < -B or A > B) and check domain.
- Radical/root inequality: enforce domain (radicand if even root must be ≥ 0), then solve, possibly squaring carefully and checking extraneous solutions.
Send the images or the typed inequalities and I’ll solve them.
- upload the image files again, or
- type the inequalities here (you can use plain text or LaTeX, e.g. (x^2-5x+6)/(x-2) > 0 or \frac{x^2-5x+6}{x-2}>0)
If you want to type them, a single-line copy of each is fine (label them a), b), c) ...). Once I have the actual expressions I will solve each and show the steps.
If helpful, here are the general methods I’ll use depending on the type:
- Linear inequality: isolate the variable, remember to reverse the inequality when multiplying/dividing by a negative.
- Polynomial inequality: bring all terms to one side, factor, find zeros, use sign-chart/test intervals (or multiplicity rules) to determine where the polynomial is positive/negative.
- Rational inequality: bring to one side as single fraction, factor numerator and denominator, find zeros and vertical asymptotes (excluded points), make a sign chart across critical points.
- Absolute-value inequality: split into cases or convert to compound form (|A| < B => -B < A < B; |A| > B => A < -B or A > B) and check domain.
- Radical/root inequality: enforce domain (radicand if even root must be ≥ 0), then solve, possibly squaring carefully and checking extraneous solutions.
Send the images or the typed inequalities and I’ll solve them.
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