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2 years ago

Solve the following inequality 4x+15≥x+6

Mathematics

2 answers:

WINSTONCH [101]2 years ago

8 0

Answer:

$\boxed{\sf{x\geq -3}}$

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

First, subtract by 15 from both sides.

4x+15-15≥x+6-15

Solve.

4x≥x-9

Then, you subtract by x from both sides.

4x-x≥x-9-x

Solve.

3x≥-9

Divide by 3 from both sides.

3x/3≥-9/3

Solve.

Divide the numbers from left to right.

-9/3=-3

$\Longrightarrow: \boxed{\sf{x\geq -3}}$

Therefore, the correct answer is x≥-3.

I hope this helps, let me know if you have any questions.

Mariana [72]2 years ago

4 0

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

Given inequality:

4x + 15 ≥ x + 6

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)
⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15
⇒ 3x ≥ -9

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

⇒ 3x/3 ≥ -9/3
⇒ x ≥ -3

Therefore, the solution is x ≥ -3.

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Ne4ueva [31]

Answer:

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Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

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The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400. 

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

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Now it's just a matter of finding the area by using the formula;

A = $\frac{bh}{2}$

Or,

(20 × 15) ÷ 2 = 150.

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<h2>Hope this helped.</h2>

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