What is the solution if the inequality shown below? a+2<-10

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

7 0

Answer:

$\huge \boxed{a$

Step-by-step explanation:

Subtract by 2 both sides of equation.

$\displaystyle a+2-2$

Simplify, to find the answer.

$-10-2=-12$

$\displaystyle a$ , which is our answer.

daser333 [38]3 years ago

6 0

Answer:

a < -12

Step-by-step explanation:

Isolate the variable, a. Treat the < as a equal sign, what you do to one side, you do to the other. Subtract 2 from both sides:

a + 2 < -10

a + 2 (-2) < -10 (-2)

Simplify:

a < -10 - 2

a < -12

a < -12 is your answer.

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Natali5045456 [20]

We have the expression:

$\frac{1}{x - 1}=\frac{5}{x - 10}$

When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

$\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}$

Answer: There is no restriction for x in the expression.

6 0

1 year ago

The sum of two consecutive integers is 41. Find the integers

BigorU [14]

20 and 21 is your answer

20 + 21 = 41

hope this helps

3 0

3 years ago

josh has a job mowing lawns. He charges$25 for each yard. He needs at least $400 for the new game system that he wants. write an

Murljashka [212]

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