Question

the solutio set of the inequation 3|x|+2<_1 is
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Answer 1

Answer:

It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

Example: Solve 2x + 3 ≤ 7, where x is a natural number. ...

2x + 3 ≤ 7. Subtracting 3 from both the sides,

2x ≤ 4. Dividing both sides by 2,

x ≤ 2. ...

Example: ...

x ≤ 4. ...

Example 2: ...

Solution:

Answer 2

3 |x| + 2 ≤ 1

→ 3 |x| ≤ -1

→ |x| ≤ -⅓

Since |x| is always positive, this condition is not possible.