Inequalities with Negative Numbers

Inequalities with Negative Numbers

Guys, let's get this!!

 $2q\le-8$  

• To solve use inveres operation.... division

• Divide both sides by same number...2

Multiple Choice

Which symbol will be used in my solution (answer)?

 $2q\le-8$  

•  $\le$  

•  $\ge$  

•  $<$  

•  $>$  

 $2q\le-8$  

•  $\frac{2q}{2}\le-\frac{8}{2}$  

•  $1q\le-4$  

• SIGN DOES NOT FLIP

Multiple Choice

 $\frac{s}{4}>-1$  

•  $s>4$  

•  $s<4$  

•  $s>-4$  

•  $s<-4$  

 $-5n<40$  

• To solve, use inverse operation.... division. 

• We want a +1 for our coefficeint, so we must dividie by -5

• If we divide by -5,  $n<-8$  which is false. Numbers less than -8 will not make this a true statement

• Therefore, we must flip the sign to keep the solution true

•  $n>-8$  

Multiple Choice

 $-3a>6$  
Dividing by a negative means I need to flip the sign

• true

• false

Multiple Choice

 $3d>-6$  
Because there is a negative number involved, I need to flip the sign

• true

• false

Let's practice

• For the following inequalities, when typing in answers, do not use spaces

• make sure you know where the > < signs are

• You will be filling in the blank :)

Fill in the Blank

 $\frac{s}{-22}>-1$  

Fill in the Blank

 $-1.01q>-7.07$  

Fill in the Blank

 $-1<\frac{k}{24}$  

Fill in the Blank

 $8<\frac{u}{-1}$  

Fill in the Blank

 $\frac{p}{-2}<-44$