Question

Identify the solution set of the inequality using the given replacement set.


x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}



{–5, –2.6}

{–5, –2.6, –2}

{ –2, –0.8, 1, 1.5}

{–0.8, 1, 1.5}

Answer 1

What you do is replace x with each number inside the curly braces.

For example, let's pick a number at random in that set. Let's say we pick x = 1

Answer 2

x < –2

1 < –2 ... replace x with 1


Since the inequality 1 < -2 is false, this means x = 1 is NOT a solution to x < –2

So 1 is not part of the solution set