3 years ago

Jackie followed these steps to evalute the expression

Mathematics

1 answer:

sweet [91]3 years ago

6 0

??? what steps are you talking about. lol

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Find the difference: <br> 2(x-2) - 3(x-4)

cluponka [151]

Answer:

brainliest plzzzzz

Step-by-step explanation:

2(x-2) - 3(x-4)

Simplify:

2(x-2)-3(x-4)

2x-4-3(x-4)

Distribute:

2x-4-3(x-4)

2x-4-3x+12

Add the numbers:

2x-4-3x+12

2x+8-3x

Combine like terms:

2x+8-3x

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Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

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