Graphing Inequality Solutions
Master Graphing Inequality Solutions in Grade 10 math. ### Property To graph an inequality on a number line: use an open circle for or to show the number i.
Key Concepts
Property To graph an inequality on a number line: use an open circle for $<$ or $ $ to show the number is not included. Use a closed (solid) circle for $\leq$ or $\geq$ to show the number is included in the solution.
The graph of $x 4$ has an open circle at 4 with an arrow pointing to the right, towards infinity. The graph of $y \leq 2$ has a closed, solid circle at 2 with an arrow pointing to the left.
Graphing makes the solution visible. Imagine the circle is a gate. An open circle means the value is the starting point, but not part of the yard—you can get close, but not touch it. A closed circle means the value is the gatepost itself, firmly planted in the solution yard. The arrow shows which way the yard extends.
Common Questions
What is Graphing Inequality Solutions?
### Property To graph an inequality on a number line: use an open circle for or to show the number is not included. Use a closed (solid) circle for or to show the number is included in the solution. Graphing an inequality is like drawing a map of all the possible 'answers' on a number line. It's...
How do you apply Graphing Inequality Solutions in practice?
The graph of has an open circle at 4 with an arrow pointing to the right, towards infinity. The graph of has a closed, solid circle at -2 with an arrow pointing to the left.
Why is Graphing Inequality Solutions important for Grade 10 students?
Ever see a word problem about mixing two things together and feel stuck? This video is your guide! It shows how to turn confusing 'mixture problems' into a clear system of equations you can solve. You'll learn to set up one equation for the total amount and another for the total value, making...