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AfilCa [17]
3 years ago
15

2.

Mathematics
1 answer:
Bond [772]3 years ago
8 0
Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips

Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, a \le b and a \ge b
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(b-c)3 +(c-d) raise to3 3+(d-b)3
Juliette [100K]

Answer:3 b − 2 c− d , t o 3 , 3 + 3d − 3 b

Step-by-step explanation:

( b − c ) ⋅ 3 + ( c -d )  raise  t o  3   3 + ( d − b ) ⋅ 3

Write the problem as a mathematical expression.

( b − c ) ⋅ 3 +( c − d )  raise  t o3   3+ ( d − b) ⋅ 3

Remove parentheses.

( b − c) ⋅ 3 + c − d , t o 3 , 3 + ( d − b ) ⋅ 3

Simplify each term.

Apply the distributive property.

b ⋅ 3 − c ⋅ 3 + c− d

Move  3  to the left of  b . 3 ⋅ b − c ⋅ 3 + c − d

Multiply  3  by  − 1  ⋅ 3 b − 3 c + c − d

Add  − 3 c  and  c. 3 b − 2 c − d , t o 3 , 3 + ( d − b ) ⋅ 3

Simplify each term.

Apply the distributive property.

3 + d  ⋅ 3 − b  ⋅ 3

Move  3  to the left of  d . 3 + 3 ⋅ d − b ⋅ 3

Multiply  3  by  − 1 . 3 + 3 d − 3 b

4 0
3 years ago
2u + 1 &gt; -5/4u - 9<br><br> help please
FinnZ [79.3K]
2u + 1 > -5/4u - 9
2u + 5/4u > -9 - 1
8/4u + 5/4u > -10
13/4u > -10
u > - 10 * 4/13
u > -40/13 or - 3 1/13 <=
4 0
3 years ago
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