Question

Which values of x are solutions of the inequality?2x - 6<1(a) x = 2 (b)x=7 (c) x=8Select all that apply.(a) x = 2(b)x= 7(c) x=8

Answer 1

A. The only value that solves this inequality among the given ones is x=2

1) In this question of inequality, all we need is to test by plugging in the given values.

2x -6< 1

a) 2(2) -6 < 1

4 -6 < 1

-2<1 (True) -2 is < 1

b) 2(7)-6 <1

14-6<1

8< 1 (False) 8 is not lesser than 1

c) 2(8)-6 <1

16-6 <1

10 < 1 False For 10 is not lesser than 1