1.
-6w<84
A.w>14
B.w<-14
C.w>-14
D.w<14
2.5m>45
A.m>9
B.m<9
C.m>-9
D.m<-9
1. Because you're dividing by a negative number, the sign must be reversed to >. Dividing by a negative number yields a negative quotient. What is w?
2. I'll be glad to check your answer.
My answers are 1.c and 2.a is that correct?
Yes, your answers are right.
To solve these inequalities, we need to isolate the variable on one side of the inequality symbol.
1. -6w < 84
To isolate w, we can divide both sides of the inequality by -6. Remember that when dividing by a negative number, the inequality sign flips.
-6w / -6 > 84 / -6
w > -14
Therefore, the correct answer is A. w > 14.
2. 5m > 45
To isolate m, we can divide both sides of the inequality by 5.
5m / 5 > 45 / 5
m > 9
Therefore, the correct answer is A. m > 9.