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3 years ago

Is either x=5 or x=3 a solution to 11- x <7

Mathematics

2 answers:

Korolek [52]3 years ago

5 0

Answer:

x=5 is the correct answer

Step-by-step explanation:

First we start off to see if x=3 could work (put the x value in)

11-3<7

(11-3=8)

8<7 This is false

Now lets try the other one-

11-5<7

(11-5=6)

6<7

The value x=5 is the correct answer

P.S If you don't mind, could I have brainlest? (if you think my answer is the best)

Aleks [24]3 years ago

3 0

Answer:

Explanation:

11 - x < 7

11 minus a number is less than 7

<em>Insert 5 into the equation</em>

11 - 5 < 7

<em>Simplify</em>

6 < 7

This is true

<em>Insert 3 into the equation</em>

11 - 3 < 7

<em>Simplify</em>

8 < 7

This is false

<h3><u><em>x = 5 is a solution to the equation 11 - x </em></u><u>< 7</u></h3><h3><u /></h3>

- PacificNorthwest

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Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power

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Step-by-step explanation:

Let us explain how to change the radical expression as an expression

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1. Find the number of the root and make it the denominator of the

fraction exponent

2. Find the power of the term under the radical and make it the

numerator of the fraction exponent

Examples:

$\sqrt{x^{n}}=x^{\frac{n}{2}}$

$\sqrt[3]{x^{n}}=x^{\frac{n}{3}}$

$\sqrt[5]{x^{n}}=x^{\frac{n}{5}}$

So $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ the radical expression is the seventh root of x to the third power

∵ seventh root = $\sqrt[7]{}$

∵ x to the third power = x³

∴ seventh root of x to the third power = $\sqrt[7]{x^{3}}$

Let us change it to the rational exponent

∵ $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ $\sqrt[7]{x^{3}}$

∴ m = 7 and n = 3

∴ $\sqrt[7]{x^{3}}$ = $x^{\frac{3}{7}}$

∵ $x^{\frac{3}{7}}$ is x to the three sevenths power

∴ $\sqrt[7]{x^{3}}$ is x to the three sevenths power

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power

Learn more:

You can learn more about radical equation is brainly.com/question/7153188

#LearnwithBrainly

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