Math Help - Inequalities.

1. Inequalities.

How would I solve this?

25 - 6b (Less than and equal to sign) -b - 60

Any help would be appreciated.

2. you bring -6b in the other side it becomes 6b and you take -60 in the other side it becomes 60...you will get
25+60(less or equal than)-b+6b
85(less or equal than)5b
17(less or equal than)b which means b(greater or equal than)17

3. Originally Posted by largebabies
How would I solve this?

25 - 6b (Less than and equal to sign) -b - 60

Any help would be appreciated.
25 -6b <= -b - 60 ??

-6b <= -b -35

-5b <= - 35

divide by -5, when dividing by a negative you must flip the inequality.

$b \geq 17$

4. $25-6b \leq -b -60$

$85 \leq 5b$

$17 \leq b$

5. Originally Posted by p00ndawg
25 -6b <= -b - 60 ??

-6b <= -b -35

divide by -6, when dividing by a negative you must flip the inequality.

$b >= b/6 + 35/6$
Check this agian, there is a mistake.

6. Originally Posted by 11rdc11
Check this agian, there is a mistake.
caught it.

7. Thank you all for your help, although now I can't figure out this equation. I've tried it multiple times and end up getting -6 each time when I need -10

8.25n - 12 (greater than or equal to) 14.25n + 48

8. $8.25n -12 \geq 14.25n +48$

$-60 \geq 6n$

$-10 \geq n$

9. Originally Posted by largebabies
Thank you all for your help, although now I can't figure out this equation. I've tried it multiple times and end up getting -6 each time when I need -10

8.25n - 12 (greater than or equal to) 14.25n + 48

$8.25n-12 \geq 14.25n + 48$

$8.25n \geq 14.25n + 60$

subtract 14.25 n

$8.25n - 14.25n \geq 60$
divide by -6 and flip sign

$-6n \geq 60$

$n \leq -10$

10. it does give -10
8.25n-12(greater or equal than)14.25n+48
you 8.25 in the other side it becomes -8.25 and you bring 48 in the other side,it becomes -48..you will get
-12-48(greater or equal than)14.25n-8.25n....you will get
-60(greater or equal than)6n.....then you divide -60 by 6..you will get
-10(greater or equal than)n which means...n(less or equal than)-10

11. One last question (that I need help on) before I stop spending my life on here :P

x/3 + 7 > 1/4x (it's 1/4x not 4x) +5

An explanation on turning fractions into numbers would also help alot too, never been really sure how to do that

12. no need to turn them into numbers..just join them together
if you bring x/4 in the other side..it becomes -x/4
and if you bring 7 on the other side.it becomes -7..you will get
x/3-x/4(greater than)5-7
x/12(greater than)-2
x(greater than)-24

13. $\frac{x}{3} + 7 > \frac{x}{4} + 5
$

multiply both sides by 12 to "clear" the fractions ... the result is a "piece of cake" inequality

$4x + 84 > 3x + 60$

$x > -24$

14. Alright, I have another one for you guys.

"An electronics store is advertising 35% off the regular price of any mpeg player in stock"

"Sheila has $165 to spend on a mpeg player. Write and solve an inequality which expressed the different amounts of money which she can spend on a mpeg player." I'm preety terrible at doing written problems, it just doesn't click 15. Originally Posted by largebabies Alright, I have another one for you guys. "An electronics store is advertising 35% off the regular price of any mpeg player in stock" "Sheila has$165 to spend on a mpeg player. Write and solve an inequality which expressed the different amounts of money which she can spend on a mpeg player."

I'm preety terrible at doing written problems, it just doesn't click
Let A be the amount of money that Shiela can spend.

$A\leq 165$.

Let $M_{old}$ be the original price of an MPEG player, and if the New price $M_{new}$ is 35% less, then it is 65% of the original price, or $\frac{13}{20}$ of the original price.

$M_{new}=\frac{13}{20}M_{old}$

and so $M_{old} = \frac{20}{13}M_{new}$.

If $M_{new} \leq 165$ then Shiela can buy it.

Or if $M_{old} \leq \frac{20}{13} \times 165$ she can buy it.