MODELING AND WRITING TWO STEP INEQUALITIES
We can use the following algebra tiles to model and solve two step inequalities.
Example 1 :
Four decreased from three times of a number is greater than or equal to five. Use algebra tiles to model the above situation and write the inequality.
Solution :
Step 1 :
Let us come to know the algebra tiles which have to be used to model the given situation.
Four decreased ---> Four -1 tiles
Three times of a number ---> Three positive variable tiles.
Five ---> Five +1 tiles.
Step 2 :
Now use the above mentioned algebra tiles or draw them to model the given situation on the mat.
Step 3 :
From the above model, we can get the following inequality.
3x - 4 ≥ 5
Example 2 :
The sum of two times of a number and one is less than three. Use algebra tiles to model the above situation and write the inequality.
Solution :
Step 1 :
Let us come to know the algebra tiles which have to be used to model the given situation.
Two times of a number ---> Two positive variable tiles
One ---> One +1 tile
Three ---> Three +1 tiles.
Step 2 :
Now use the above mentioned algebra tiles or draw them to model the given situation on the mat.
Step 3 :
From the above model, we can get the following inequality.
2x + 1 < 3.
Example 3 :
When three times of a number is decreased from four, the result is greater than five. Use algebra tiles to model the above situation and write the inequality.
Solution :
Step 1 :
Let us come to know the algebra tiles which have to be used to model the given situation.
Four ---> Four +1 tiles
Three times of a number decreased
--- >Three negative variable tiles
Five ---> Five +1 tiles
Step 2 :
Now use the above mentioned algebra tiles or draw them to model the given situation on the mat.
Step 3 :
From the above model, we can get the following inequality.
4 -3x > 5.
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