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ivann1987 [24]
3 years ago
8

Why are inverse relationships between operations used to solve two step inequalities?

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.

Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative

It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)

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How do you know what angle degree goes on each corner?
Dahasolnce [82]

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}

Let's move on to angle e,

\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}

Let's move on to angle d,

d=110^o\text{ (V}ertically\text{ opposite angles)}

Moving to angle c, we have;

c=45^o\text{ (Vertically opposite angles)}

And, angle a;

\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}

8 0
1 year ago
Make r the subject of the formula in 1 - E Rr​
Artemon [7]

Answer:

r= 1r- eR = r

Step-by-step explanation:

r-r = ER final answer to equal r= -ER

8 0
2 years ago
Simplify the expression: 6 + 3(x + 4) A 6 + 3x + 12 B 9x + 36 C 3x + 18 D 9x + 4
zepelin [54]

Answer:

C

Step-by-step explanation:

6 + 3(x + 4)

= 6 + 3x + 12

= 3x + 18

5 0
2 years ago
Mrs. Baxter deposits $2000 in an account that earns 5% interest. How much is Mrs. Baxter's investment worth after 8 years
Trava [24]

Answer:

2954.91088758

Step-by-step explanation:

exact answer

6 0
2 years ago
& Faye borrowed $.9000 at 6% per annum compound
Katarina [22]

Answer:

540

Step-by-step explanation:

9000 \times  \frac{6}{100}

Hope this will help you :))

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