1. m-7<6
a. m<-13
b. m<1
c. m<-1
d. m<13
2 .n-8>5
a. n>13
a n>3
a. n>-3
a. n>-13
3. p+5<10
a. p<-15
b. p<5
c. p<15
d. p<-5
sorry about number 2 a b c d
they work just like equations
BUT ... when multiplying or dividing by a negative quantity ,
... the direction of the arrow reverses
To solve each of these inequalities, you can follow the same steps:
1. Solve for the variable by moving the numbers and/or variables to one side of the inequality.
2. Simplify both sides of the inequality if necessary.
3. Determine the correct symbol (<, >, ≤, ≥) by looking at the direction the variable needs to go to make the inequality true.
4. Write down the correct answer option based on the symbol.
Let's solve each inequality:
1. m - 7 < 6
Let's solve for m:
m < 6 + 7
m < 13
The correct answer is (d) m < 13.
2. n - 8 > 5
Let's solve for n:
n > 5 + 8
n > 13
The correct answer is (a) n > 13.
3. p + 5 < 10
Let's solve for p:
p < 10 - 5
p < 5
The correct answer is (b) p < 5.