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3 years ago

How do I solve 3+4x (less than or equal to sign) x-2

Mathematics

1 answer:

Yuki888 [10]3 years ago

7 0

Answer: x < -5/3

Step-by-step explanation:

1) Subtract 3 from both sides (New inequality: 4x < x-5)

2) Subtract "x" from both sides (New inequality: 3x < -5)

3) Divide both sides by 3 (New inequality: x < -5/3)

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Explain how you know which method you should use to solve a rational equation.

notsponge [240]

Methods to solve rational equation:

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

3 years ago

Find the rate of $740 for 5 pounds

Lady_Fox [76]

Answer:

Each $148 = 1 pound.

Step-by-step explanation:

5 0

3 years ago

Which best describes the relationship between the successive terms in the sequence shown?

ahrayia [7]

Answer:

(C)The common ratio is –2.0

Step-by-step explanation:

Given sequence:

2.4, –4.8, 9.6, –19.2

This is not AP as the difference in terms is not common

This is GP with the common ratio of -2 as:

-19.2/9.6 = 9.6/ -4/8 = -4.8/2.4 = -2

Correct choice is (C)

4 0

3 years ago

Please help, need answer ASAP!!

salantis [7]

It should be all real numbers

7 0

3 years ago

Melissa puts 2/5 of her babysitting money in savings and uses 1/2 of the remaining money to go to the movies. If she has $12 lef

ser-zykov [4K]

If you work backwards, she had 24 before going to the movies. This is 3/5 of what she had originally. Use this to find 1/5 the but dividing 24 by 4 = 8 then multiply by 5 to get back to the original value 8 x 5 = 40

8 0

3 years ago

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