Question

# A compound inequality including “or” has the solutions of ___________.

- Only the first inequality statement
- Only the second inequality statement
- Either of the inequalities
- Both the inequalities

Hint:

### This is a question of compound inequalities. A compound inequality means we are given two statements. It is joined using the words “and” and “or”. We have to find the values of the variables satisfying those statements.

## The correct answer is: Either of the inequalities

### We are asked about the word “or”.

When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.

If we plot the solutions on a graph, the final graph will be intersection of both the inequalities.

When the word “or” is used, the values of the variables satisfy either of the inequalities.

If we plot the solution graph, the final graph will show solutions of either of inequalities.

So, a compound inequality including “or” has the solutions of either of the inequalities.

Whenever we solve questions of inequality, we have to check for the words “and” and “or”.

### Related Questions to study

### Solve 32 < 2x < 46.

We have to follow the rules of inequalities to solve such questions. We have to swap the inequality when we divide it or multiply it by a negative number. In such questions, we find the values of the variables which makes the statement of inequalities true.

### Solve 32 < 2x < 46.

We have to follow the rules of inequalities to solve such questions. We have to swap the inequality when we divide it or multiply it by a negative number. In such questions, we find the values of the variables which makes the statement of inequalities true.

### Find the area of the right-angled triangle if the height is 11 units and the base is *x* units, given that the area of the triangle lies between 17 and 42 sq. units

For such questions, we should check the limits of the inequality. We should check the upper limit and lower limit.

### Find the area of the right-angled triangle if the height is 11 units and the base is *x* units, given that the area of the triangle lies between 17 and 42 sq. units

For such questions, we should check the limits of the inequality. We should check the upper limit and lower limit.

### The inequality that is represented by graph 2 is ______.

### The inequality that is represented by graph 2 is ______.

### The solution of 2 < x ≤ 8 is ________.

### The solution of 2 < x ≤ 8 is ________.

### Write the inequality represented by the graph

### Write the inequality represented by the graph

### Write an inequality to represent the following:

Any number greater than 5

It is used most often to compare two numbers on the number line by their size.

### Write an inequality to represent the following:

Any number greater than 5

It is used most often to compare two numbers on the number line by their size.

### What is the solution of 0.2 x -4 - 2x < - 0.4 and 3x + 2.7 <3 ?

We have to follow the rules of inequalities to solve such questions. We have to swap the inequality when we divide it or multiply it by a negative number. In such questions, we find the values of the variables which makes the statement of inequalities true.

### What is the solution of 0.2 x -4 - 2x < - 0.4 and 3x + 2.7 <3 ?

### Find the area of the right-angled triangle if the height is 5 units and the base is *x* units, given that the area of the triangle lies between 10 and 35 sq. units

An **inequality** is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

### Find the area of the right-angled triangle if the height is 5 units and the base is *x* units, given that the area of the triangle lies between 10 and 35 sq. units

An **inequality** is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

### Solve - 8 < 2 (x + 4) or - 3x + 4 > x - 4

Inequality reverse if we multiply both side with -1

### Solve - 8 < 2 (x + 4) or - 3x + 4 > x - 4

Inequality reverse if we multiply both side with -1

### Write the compound inequality that represents the area A of the rectangle if 35 ≥ A ≥ 25.

### Write the compound inequality that represents the area A of the rectangle if 35 ≥ A ≥ 25.

### The inequality that is represented by graph 4 is ______.

### The inequality that is represented by graph 4 is ______.

### The compound function that represents the graph is __________.

### The compound function that represents the graph is __________.

### Write a compound inequality for the given graph

### Write a compound inequality for the given graph

### Which inequality is the same as “pick a number between -3 and 7?”

### Which inequality is the same as “pick a number between -3 and 7?”

### Solve 12 < 2x < 28

Inequality reversed, if we multiply both side by -1

### Solve 12 < 2x < 28

Inequality reversed, if we multiply both side by -1