Question

Which among the following inequality represents the interval [2, ∞)​

Answer 1

Answer:

where is the inequality because without inequality it not complete

Answer 2

a) x - 3  ≥  5 , x ∈ R.

b) 3x - 3 ≥ 5, x ∈ R.

c) 3x - 1 ≥ 3, x ∈ R.

d) 3x - 1 ≥ 5, x ∈ R.

Option (d) 3x - 1 ≥ 5, x ∈ R is the answer.

Given,

An interval [2, ∞).

To Find,

The inequality represents the interval [2, ∞).

Solution,

Here, an interval is given, and we need to find out the inequality of the given interval.

Given interval is [2, ∞).

Let's take the first option.

a) x - 3≥ 5, x ∈R.

then the value of x = 3+5

x ≥ 8, x ∈ R.

Here the value starts at 8 so the interval is [8, ∞).

b) 3x -3 ≥ 5, x ∈ R.

3x = 5 + 3

3x= 8

x = 8/3.

Therefore, the interval will be [8/3, ∞).

c) 3x -1 ≥3, x ∈ R

3x = 4

x = 4/3.

The interval is  [ 4/3, ∞).

d) 3x - 1 ≥ 5, x ∈ R

3x = 5+1

3x = 6

x = 6/3

x = 2

So the starting point is 2 and the limit is undefined.

So the interval is [2, ∞).

Hence 3x - 1 ≥ 5, x ∈ R represents the interval [2, ∞).

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