Question

If X € 1,then the solution set of the equation : 1<3x+5<=11

Answer 1

Answer:

MATHS

If x∈I, find the solution set of each of the following inequations. Represent it on the number line.

(i) 4−3x≤13+x

(ii) 10−x≤5−4x

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ANSWER

Given 4−3x≤13+x,

=−4x≤9

=−x≤

4

9

=x≥−

4

9

=x≥−4.5, Sincex∈I, x≥[−4.5]=x≥−4

Given 10−x≤5−4x,

3x≤−5

=x≤

3

−5

=x≤−1.6

Since x∈I, x≤−1

The range in which x belongs to is marked in blue colour in the number line.