Question

Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either a number or an expression) that has the following solution set

all numbers such that x ≤ 5
all numbers such that x ≥ -1.3

x – 5 ≤ 0,  x  + 13 ≥ 0
Step-by-step explanation:
All numbers such that x≤5.
x – 5 ≤ 0
All numbers such that x≥−1.3.
x  + 13 ≥ 0

2. thachthao
The absolute value equations in the form of  |x-b|= c(where b is a number and c can be either a number or an expression) that has the following solution set
all numbers such that x ≤ 5 and all numbers such that x ≥ -1.3 will be x -5 ≤ 0 and x + 1.3 ≥ 0.

What is the absolute value equation?

Isolate the absolute number on one side of the equation to solve an equation containing the absolute value.
Then, resolve both equations by changing their respective contents to the positive and negative values of the variable on the other side of the equation.
In another word, the absolute value equation is the equation that has a real absolute value not imaginary and not binary.
In the mode function, it could be two values if the mode is going negative or positive.
Given that the equation |x-b| = c and constraint is
all numbers such that x ≤ 5
all numbers such that x ≥ -1.3
so by substituting we will get x -5 ≤ 0 and x + 1.3 ≥ 0.