algebra 2
1. 5x+2>3x+10
=x>4
2. 8+2x< or equal too 6x20
x> or equal too 7
3. 4(13n)14>4(2n+3)9n
=?
412n14>8n+129n
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

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(13n)14>4(2n+3)9n
412n14 > 8n+129n
12n10 > 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

412n14>8n+129n
41214>8n9n+12n
22>11n
n=0.5posted by Mercy
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