To solve the below inequality in terms of intervals and illustrate the solution set on the real number line -
The solution of the inequality is or and the solution set on a real number line -
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
Real number line is the line whose points are the real numbers.
Given: Inequality equation is
Subtracting from both the sides, we have:
To solve the above inequalities, we need to find the different intervals for which the inequality gives a value less than .
is negative and is positive
So, isone of the solutions.
is positiveand is positive
So, is not one of the solutions.
is negativeand is positive
So, is one of the solutions.
Combining all the solutions, we have the solution set as:
Drawing the above inequality on a real number line, we have:
Hence, the solution of the inequality is or and the solution set on a real number line -
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!