1
Question
Find the least value x that satisfies the following inequation:
−27+2x≤9 ; x ϵ N
Find the least value x that satisfies the following inequation:
−27+2x≤9 ; x ϵ N
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Solution
The correct option is D 1
Given: −27+2x≤9
Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the given inequation.
⇒2x≤9+27
⇒2x≤36
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 both sides by 2 in both the inequations;
⇒x≤18
Since, x ϵ N the least value x can take is 1.
Given: −27+2x≤9
Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the given inequation.
⇒2x≤9+27
⇒2x≤36
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 both sides by 2 in both the inequations;
⇒x≤18
Since, x ϵ N the least value x can take is 1.
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