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yanalaym [24]
2 years ago
12

Plz do this, I’m so exhausted. Thxx

Mathematics
2 answers:
brilliants [131]2 years ago
3 0

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x          +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10       +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

Anna [14]2 years ago
3 0
12. B


X- 10 < 6-5x


So I brought over the five x to be on the side where the x is and then I placed the others on the other side so…


5x + x < 6 + 10

6x < 16

Then I divided both sides by 6
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A:\\R=4\hspace{8}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z

B:\\R+G=5\hspace{8}R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{5}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{3}and\hspace{3}R\neq G

C:\\R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5}R =3 \hspace{3}or\hspace{3}G=3

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R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{3}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{5};\hspace{3}R+G\neq8

Step-by-step explanation:

Let:

R=The\hspace{3}number\hspace{3}shows\hspace{3}by\hspace{3}the\hspace{3}red\hspace{3}dice\\G=The\hspace{3}number\hspace{3}shows\hspace{3}by\hspace{3}the\hspace{3}green\hspace{3}dice

A:

This is easy, simply R=4, and we don't know the value of G, so:

R=4\hspace{8}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z

B: Be careful here, we know the numbers add to 5, so we don't know the exact value of R or G, because R could be 4 and G could be 1 or R could be 2 and green could be 3. However we can be sure that they can´t have the same value, because 5 is an odd number, if we add the same number to a number the result is always even: n+n=2n. So:

R+G=5\hspace{8}R=\{x\hspace{3} ;\hspace{3}1\leq x \leq 6 \}\hspace{3}x\in Z\hspace{5}G=\{y\hspace{3} ;\hspace{3}1\leq y\leq 6 \}\hspace{3}y\in Z\hspace{3}and\hspace{3}R\neq G

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