Explore: Algebra Lab, Solving Inequalities
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Model the inequality on an equation mat. Remember to use the inequality sign <.
x>-3
We can use an equation mat to solve the inequality -3x<9. However, instead of an equals sign, we must write the inequality symbol <. Let's solve it step by step!
On the left-hand side of the inequality we have -3x. Therefore, we place 3 negative x-tiles on one side of the mat. On the right-hand side we have 9, so we place 9 positive 1-tiles on the other side.
Now, let's remove the zero pairs from the left-hand side.
Next, we can add 9 negative 1-tiles to isolate the x-tiles on the right-hand side.
We formed 9 zero pairs on the right-hand side.
Finally, we can remove the zero pairs and separate the tiles into 3 groups. This gives us the following mat.
We can see that each x-tile matches with 3 negative 1-tiles.
-3