inequality

Question

Which of the following make the ineqaulity -3x+10<16 true? (can be multiple answers)

 

I.  X = -2

II.  x=2

III.  x=-3

Iv.  x=-1

 

 

Answer 1

Since each of the distractors (the alternative answers) are values of x, let's solve the inequality for x.

  -3x+10<16

  -3x < 6                (subtract 10 from both sides retains truth of inequality)

    -x < 2                (divide by positive 3 retains truth of inequality)

    x > -2                (multiply by -1 reverses the sense of the inequality)

 

So, answers II and IV have values of x that are greater then -2.