Question

Identify the solution set of the inequality using the given replacement set.
x < –7; {–15, –10.5, –7.2, –7, 0, 6}

A. {-15, -10.5, -7.2, -7, 0, 6

B. {-15, -10.5, -7.2}

C. {-15, -10.5, 0, 6}

D. {0, 6}

Answer 1

\({\bf x < -7; \qquad {-15, -10.5, -7.2, -7, 0, 6}\implies }

\begin{array}{rllll}
-10.5<-7\\
-7.2<-7\\
-7<-7\\
-0<-7\\
-6<-7\\
\end{array}
\)

what do you think? which of those are true
lemme do the 1st one... so \(\bf -10.5<-7\)
recall that on the negative side of the number line, the closer to 0, the bigger the number

so who is closer to 0? -10.5 or -7? well, -7, thus -7 is BIGGER than -10.5, thus \(\bf -10.5<-7\) is true, thus is part of the solution set

Answer 2

this doesn't help me im sorry I asked this question because I don't even know what half of the stuff means

Answer 3

1.2>1
-1.2<1
similarly -7.2 <-7
-10.5<-7
..............

Answer 4

correction -1.2<-1

Answer 5

thanks!! :)