I'm confused on these questions. Can someone explain to me how to solve them?
1.p+12>9
A.p>21
B.p>3
C.p>-21
D.p>-3
2.m-7<6
A.m<-1
B.m>1
C.m<13
D.m<-13
When solving inequations, follow the same steps as you would for ordinary equations,
EXCEPT, if you multiply or divide by a negative, you must reverse the inequality sign.
e.g.
2(x - 5) > 4(x + 7)
2x - 10 > 4x + 28, the same as you would for equation
2x - 4x > 28 + 10 , the same as equation
-2x > 28, the same as equation
x < -14 , notice I divided by -2, thus > became <
so yours,
p + 12 > 9
p > 9-12
P > -3
do the 2nd the same way
Thank you, Reiny!
My answer for number 2 is m<13. Is that correct?
Sure! I can help you out with these questions.
1. The expression given is p + 12 > 9. To solve this inequality, we need to isolate the variable "p" on one side of the inequality sign.
Subtract 12 from both sides of the inequality:
p + 12 - 12 > 9 - 12
p > -3
So, the answer is D. p > -3.
To solve it, you need to subtract 12 from both sides of the inequality.
2. The expression given is m - 7 < 6. Similarly, we need to isolate the variable "m" on one side of the inequality sign.
Add 7 to both sides of the inequality:
m - 7 + 7 < 6 + 7
m < 13
So, the answer is C. m < 13.
To solve it, you need to add 7 to both sides of the inequality.
Remember, when solving inequalities, always perform the same operation on both sides of the inequality sign to keep the equation balanced.