Teacher, create graded and non-graded assignments in minutes!

At Teachy you have access to thousands of questions, graded and non-graded assignments, projects, and lesson plans.

Free Registration

Discipline: Math

Question topic: Equations and Inequalities: Exponential and Logarithm

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

Consider the logarithmic inequality: log(x+2) - log(1-x) < 2. a) Solve the inequality and find the solutions for x. b) Check if the solutions found satisfy the original inequality. c) Explain the importance of being careful when working with logarithms in inequalities.


Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.

Answer key available only for registered teachers.
Register at Teachy and get access now!

Teachy originals
Those who search for this subject, also viewed these questions...
Question 1:


A medication should be administered to patients who have levels of a substance in their blood greater than 0.5 mg/L. A laboratory test found that the amount of substance in a patient's blood can be modeled by the function 2^(-t/6), where 't' represents the time in hours since the last ingestion of the medication. a) Determine the minimum time necessary for the substance to reach the necessary limit for medication administration. b) If the patient ingested the medication 12 hours ago, should it be administered again? Justify your answer. c) Write the inequality that represents all values of 't' that satisfy the condition for the medication not to need to be administered again for this patient.
Teachy originals
Question 2:


In a market research, a technology company found that the number of people who purchased their latest smartphone within a period of t days after its release can be modeled by the function f(t) = 2^t. The company wants to identify the period in which the number of people who purchased the smartphone exceeded 1024. For which values of t is the function f(t) greater than 1024?
Teachy originals
Question 3:


A person bought a car for cash, obtaining a 10% discount. He paid with 37,620 fifty-cent coins. The price of the car, without the discount, was:
Source: CMRJ
Question 4:


Teachy originals
Did you like these questions? We have more than 100,000 like these for you, teacher!
Save time with Teachy!
With Teachy, you have access to:
Classes and contents
Automatic grading
Assignments, questions and materials
Personalized feedback
Teachy Mascot
BR flagUS flag
Terms of usePrivacy PolicyCookies Policy

2023 - All rights reserved

Follow us
on social media
Instagram LogoLinkedIn LogoTwitter Logo