1/2x +3 <4x-7



Answer to a math question 1/2x +3 <4x-7

Expert avatar
48 Answers
$0.5x-3-4x < -7$
$0.5x-4x < -7+3$
$-3.5x < -7+3$
$-3.5x < -4$
$\begin{align*}&x > \frac{ 8 }{ 7 } \\&\begin{array} { l }\begin{array} { l }\begin{array} { l }x > 1 \frac{ 1 }{ 7 },& x > 1.\overline{ 142857 }\end{array},& x \in \langle\frac{ 8 }{ 7 }, +\infty\rangle\end{array},& \left\{ \right\}\end{array}\end{align*}$

Frequently asked questions (FAQs)
Question: Convert 420° to radians.
Question: Solve the cubic equation x^3 + 4x^2 - 7x + 3 = 0.
Math question: Factor the expression 3x^2 + 7x - 6 using the distributive property.
New questions in Mathematics
5 people can complete a task in 72 hours. How many people are needed to complete the task in 60 hours.
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
To celebrate the five-year anniversary of a consultancy specializing in information technology, the administrator decided to draw 3 different qualification courses among its 10 employees. Considering that the same employee cannot be drawn more than once, the total number of different ways of drawing among employees is:
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
78 percent to a decimal
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?