1.) 3x -4 <_ 2
Add 4 to both sides.
-4 + 4 = 0
2 + 4 = 6
3x <_ 6
Divide both sides by 3.
3x / 3 = x
6 / 3 = 2
x <_ 2 is your answer for the first inequality.

2.) 2x + 11 _> -1
Subtract 11 from both sides.
11 - 11 = 0
-1 -1 = -2
2x _> -12
Divide both sides by 2.
2x / 2 = x
-12 / 2 = -6

x _> -6 is your answer for the second inequality.

I hope this helps!

5 0

3 years ago

If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

sukhopar [10]

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

$2p = 40\\p = 20$

1 part is 20.

Since there are 5 parts girls, there are

$5p = 5*20 = 100$

100 girls.

Answer: 100 girls

5 0

3 years ago