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.
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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.
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What is the solution of 0.2 x -4 - 2x < - 0.4 and 3x + 2.7 <3 ?
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Inequality reverse if we multiply both side with -1
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The inequality that is represented by graph 4 is ______.
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Inequality reversed, if we multiply both side by -1
