Math Problem Statement
Solution
The question asks to "Gambarkan grafik", which translates to "Draw the graph" for each of the given inequalities or equations:
a.
This is an inequality describing a band of lines between two bounds:
- (a line with slope 1 and intercept -1)
- (a line with slope 1 and intercept 1)
The solution region is the area between these two lines.
b.
This is a compound absolute value function. To break it down:
- gives a V-shaped graph inverted (since it opens downward) with a maximum at .
- It has an additional absolute value around the whole expression, which will reflect this V-shape upwards.
c.
This describes the region below the graph of , which is a V-shaped graph opening upwards.
d.
This represents two regions:
- and , which corresponds to a region between two lines: and .
Would you like me to sketch these graphs or provide further clarification?
Related Questions:
- How do you solve absolute value inequalities in general?
- How would the graph of differ from ?
- What is the significance of absolute values when graphing linear inequalities?
- How does reflecting a graph across the x-axis or y-axis affect its shape?
- What are some common techniques for solving inequalities graphically?
Tip: When graphing inequalities, always shade the region representing the solution set.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Absolute Value Functions
Formulas
y - 1 ≤ x ≤ y + 1
y = |1 - |x||
y ≤ |x|
|y| < 2|x|
Theorems
Absolute Value Function Properties
Linear Inequalities
Suitable Grade Level
Grades 9-11