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Question
Which of the following number line represent the solution of the inequation: \(-8\leq 2x < 4 ;~~x\in\text{R}\)?
Which of the following number line represent the solution of the inequation: \(-8\leq 2x < 4 ;~~x\in\text{R}\)?
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Solution
Given: \(-8\leq 2x < 4 \)
Rule: If both the sides of an inequation are multiplied or divided by the same positive number, then the sign of the inequality will remain the same.
On dividing the inequation by 2, we get;
\(\Rightarrow -4\leq 2x < 2 \)
The same solution is represented on the number line as follows:
Given: \(-8\leq 2x < 4 \)
Rule: If both the sides of an inequation are multiplied or divided by the same positive number, then the sign of the inequality will remain the same.
On dividing the inequation by 2, we get;
\(\Rightarrow -4\leq 2x < 2 \)
The same solution is represented on the number line as follows:
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