Table of Contents
How do you solve equations involving absolute value?
To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.
Which is a correct first step in solving the inequality?
Answer: The first step in solving the given inequality is to use the distributive property and open the brackets, that is, -8x + 4 > 5 – 3x.
What is an inequality in math example?
An inequality is a mathematical relationship between two expressions and is represented using one of the following: ≤: “less than or equal to” <: “less than” ≠: “not equal to”
What is an absolute value inequality?
An absolute value inequality is an expression with absolute functions as well as inequality signs. For example, the expression |x + 3| > 1 is an absolute value inequality containing a greater than symbol. These are less than (<), greater than (>), less than or equal (≤), and greater than or equal (≥).
The General Steps to solve an absolute value equation are: Rewrite the absolute value equation as two separate equations, one positive and the other negative. Solve each equation separately.
How do you calculate absolute value?
To calculate the absolute value of a number, just enter the number and to apply the function abs. Thus, for calculating the absolute value of the number -5, you must enter abs(-5) or directly -5, if the button abs already appears, the result 5 is returned.
How to get rid of absolute value?
Isolate the expression containing the absolute value function.
How do you graph inequalities with absolute value?
With absolute value graphing, if the inequality is similar to the equation of a line, (for example y > m|x| + b), then we get a V shape, and we shade above or below the V. This is very similar to graphing inequalities with two variables. The difference is that we are graphing inequalities with absolute values which makes the V-shape.