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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