Answer:
The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is
[tex]S = \{0, 1\}[/tex]
Step-by-step explanation:
The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]
For the inequality [tex]2x < 4[/tex], we have
[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]
Therefore,
[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]
Note: 2 is not included
The integers are
[tex]\ldots -2, -1, 0, 1[/tex]
And the non-negative integers are
[tex]0, 1[/tex]
