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horrorfan [7]
3 years ago
9

Plz solve this inequality

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

\{r | r \ge -3 \}

Step-by-step explanation:

7 - 9r - (r + 12) \le 25

Remember that to deal with the negative sign to the left of the parentheses, you must think of it as a -1 multiplying the parentheses, and you distribute the -1 by multiply each term inside the parentheses by -1. That changes all the signs inside the parentheses.

7 - 9r - r - 12 \le 25

Combine like terms on the left side.

-10r - 5 \le 25

Add 5 to both sides.

-10r \le 30

We now divide both sides by -10. Remember that when you divide both sides fo an inequality by a negative number, the inequality sign changes direction.

r \ge -3

Answer: \{r | r \ge -3 \}

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BaLLatris [955]
I can tell you about the 'ac' method of factoring trinomials by way of an example:-

Factor   3x^2 - 4x - 15

first multiply the first number by the last  That is 3 * -15   = -45

Now we need to find  2 factors of -45 which will when added give - 4 ( the coefficient of x)

-9 and = 5  look like the  ones so we write

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 Now  factor this by grouping:-

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x - 3 is common to the 2 parts so we have:-

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Any trinomial can be factored in this way.
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