College algebra question. inequalities interval

In summary, college algebra is a branch of mathematics that involves the study of equations and inequalities with variables. It covers topics such as linear equations, quadratic equations, exponential and logarithmic functions, and systems of equations. Inequalities in algebra are mathematical expressions that compare two quantities and use symbols such as <, >, ≤, and ≥. An interval in algebra is a range of values written in the form of [a, b], where a and b are the endpoints. The rules for solving inequalities are similar to those for solving equations, but the direction of the inequality sign must be flipped when multiplying or dividing by a negative number. College algebra has practical applications in finance, science, and engineering, and is used to solve real-world problems
  • #1
camilus
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Homework Statement


Solve the following inequality and express the solution set in interval notation.

http://www.webassign.net/www24/symImages/4/6/aaf987edafbf00c172f8cfaf01966c.gif

The Attempt at a Solution



I got most of the answer right, except the lower interval.

the answer is:

( ? , 4 )

the question is find the ?

it is a negative number like -4x10^8, and I have narrowed it down to somewhere around -3.98558x10^8, but whata ****, how the hell m I supposed to get EXACT number?
 
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  • #2
haha nevermind sorry guys, I got the aswer already, it was -7..
 
  • #3


As a scientist, it is important to be precise and accurate in our calculations and solutions. In this case, the lower interval may require a more precise answer in order to fully solve the inequality. It is possible that the exact number needed may be irrational or have a large number of decimal places. In order to get a more exact answer, you can try using a calculator or a computer program to perform the necessary calculations. Alternatively, you can also try approaching the problem from a different angle or using a different method to get a more precise answer. Remember, in mathematics and science, even small errors can have significant impacts on the final result, so it is important to strive for precision and accuracy in our solutions.
 

Related to College algebra question. inequalities interval

What is college algebra?

College algebra is a branch of mathematics that deals with the study of equations and inequalities involving variables. It includes topics such as linear equations, quadratic equations, exponential and logarithmic functions, and systems of equations.

What are inequalities in algebra?

Inequalities in algebra are mathematical expressions that compare two quantities or variables. They use symbols such as <, >, ≤, and ≥ to show the relationship between the two quantities. Solving inequalities involves finding all possible values of the variable that make the inequality true.

What is an interval in algebra?

In algebra, an interval is a range of values on a number line. It is written in the form of [a, b], where a and b are the endpoints of the interval. The interval includes all real numbers between a and b, including a and b themselves.

What are the rules for solving inequalities?

The rules for solving inequalities are similar to those for solving equations. However, when multiplying or dividing by a negative number, the direction of the inequality sign must be flipped. Also, when multiplying or dividing by a variable, the direction of the inequality sign remains the same if the variable is positive, but it must be flipped if the variable is negative.

How is college algebra used in real life?

College algebra has many real-life applications, such as in finance, science, and engineering. It can be used to solve real-world problems involving budgeting, interest rates, growth and decay, and optimization. It is also used in fields such as physics, chemistry, and computer science to model and analyze real-world phenomena.

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