**Modeling and writing two step inequalities :**

To have better understanding on solving word problems on two-step inequalities, we can use the following algebra tiles to model and write 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.

After having gone through the stuff given above, we hope that the students would have understood "Modeling and writing two step inequalities".

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