Algebra-An inequality is a statement that is of one of the four forms
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An inequality is a statement that is of one of the four forms: 1) ax+b<0; 2) ax+b<=0; 3) ax+b>0 and 4) ax+b>=0.
To solve a linear inequality such as "ax+b<0", we need to find all values of x so that ax+b<0 holds.
Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-5=25.
The solution to the inequality 2x-5<25 is
2x<30 <==> x<15
In other words, all values x<15 are solutions to the inequality 2x-5<25;
However, there is only one solution x=15 for the equation 2x-5=25.
You mentioned that the solution for an inequality could be much larger than an equation, which is exactly correct.
Can you tell us how the answer to the example problem would look in interval notation?
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Solution Summary
This solution provides steps to solve linear inequalities.
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For the inequality 2x-5<25, as solved in this post, its solution is every value x less than ...
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- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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- "Thank you very much for your valuable time and assistance!"
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