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Kay [80]
3 years ago
9

What is the solution to the inequality 7<=-3x-4

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0

Answer:

The nearest option is -3 (negative 3)

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality 7 \leq  -3x-4

Solving:

Step 1: Switching sides of inequality and reversing the inequality

-3x-4\geq 7

Step 2: Adding 4 on both sides

-3x-4+4\geq 7+4\\-3x\geq 11

Step 3: Dividing both sides by -3 and reversing the inequality

\frac{-3x}{-3}\leq \frac{11}{-3}  \\x\leq -3.6\\

The nearest option is -3 (negative 3)

So, Option B is correct.

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Given the identity

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To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

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According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

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Substituting into the Pythagoras firnuka we have

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r²cos²theta+r²sin²theta = r²

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