# MODELING AND WRITING TWO STEP INEQUALITIES

Modeling and Writing Two Step Inequalities :

We can use the following algebra tiles to model and solve two step inequalities.

## Modeling and Writing Two Step Inequalities - Examples

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.

After having gone through the stuff given above, we hope that the students would have understood, how to model and write two step inequalities.

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