# algebra 2

1. 5x+2>3x+10
=x>4

2. 8+2x< or equal too 6x-20
x> or equal too 7

3. 4(1-3n)-14>4(2n+3)-9n
=?

4-12n-14>8n+12-9n

5. x/4<9
x<9*4=36
x<36

6. a/9>or equal to -15
a> or equal too -135

7. -p/7>-9
-p>-63
p<-63

8. -t/12> or equal too 6
-t> or equal to 72
t< or equal too 72

9. -y<36
= y>36

10. define a variable, write an inequality, and solve each problem. check your solution

1. four times a number is greater than -48

define a variable:
write an inequality: 4n>-48
solve: n>-12

11. one eighth of a number is less than or equal too 3

define a variable:
write an inequality: 1/8 n < or equal too 3
solve: ?

12. negative 12 times a number is no more than 84

define a variable:
write an inequality: -12n<84
solve: n>-7

13. negative one sizth of a number is less than -9

define a variable:
write an inequality: -1/6n<-9
solve: ?

14. eight times a number is at least 16

define:
inequality: 8n>16
solve:n>2

1. First, that's equal to, NOT too!
It's a lot easier just to write x >= 2.
With that said, let's proceed.

#1: ok
#2: ok

#3: Hmmm. This one is no harder than the first two, just a bit longer.
4(1-3n)-14>4(2n+3)-9n
4-12n-14 > 8n+12-9n
-12n-10 > -n+12
-11n > 22
n < -2

#5,6: ok

#7: oops - should have been
-p/7>-9
-p>-63
p<+63 since -63/-1 = +63

#8:same thing here. When you change sign, you must change it on both sides of the inequality, just as you would in an equation.
-t/12>=6
-t >= 72
t <= -72

#9: same again.
-y<36
y > -36

#10: ok

#11: You had trouble with this easy easy one? You got #5 ok, and it's just the same.
1/8 n <= 3
n <= 24

#12: "no more than" mean "less than or equal", not "less than", so
-12n <= 84
n >= -7

#13: again, just as easy as the others.
-1/6 n < -9
n > 54

#14: ok

Looks like you need to review working with negative values.

posted by Steve
2. 4-12n-14>8n+12-9n
4-12-14>8n-9n+12n
-22>11n
n=0.5

posted by Mercy

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