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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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25 - 4x = 15 - 3x + 1 - x
kenny6666 [7]

Hello!

To solve algebraic equations, we need to first, simplify the common terms, and secondly use SADMEP. SADMEP is strictly used to solve algebraic equations, and is used like PEMDAS. SADMEP is an acronym for subtract, addition, division, multiplication, exponents, and parentheses.

25 - 4x = 15 - 3x + 1 - x (simplify the common terms)

25 - 4x = 16 - 4x (subtract 16 from both sides)

9 - 4x = -4x (add 4x to both sides)

9 = 0 → This means that there is no solutions.

Therefore, this equation has no solutions, which are contradictions because those are the equations with no solution.

3 0
3 years ago
In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA . The figure is not drawn to scale. For m
Mademuasel [1]

Angle AOC = 46°   Find angle BPO

We have congruent right triangles PAO and PBO, right angles A and B.

So AOC=BOC=46 degrees,

PBO is a right angle so BPO is complementary to BOC, so 42 degrees

Answer: 42 degrees

3 0
2 years ago
What does the "+C" and the "dx" mean what are those?
oksian1 [2.3K]

Answer:

c means constant number

Step-by-step explanation:

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3 years ago
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Download photo math and put the problem into it it will solve it
8 0
3 years ago
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?<br> a 3<br> b 4<br> c 5<br> d 9
Pepsi [2]
The answer would be B) x = 4.

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 = 4.5x - 9 - 1.5x

3 = 3x - 9

3 + 9 = 3x

12 = 3x

12/3 = x

4 = x

x = 4.
7 0
2 years ago
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