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3 years ago

Which of the following options are solutions to the inequality g ≠ 5 (hint: there is more than one right answer!)

Mathematics

2 answers:

kari74 [83]3 years ago

7 0

Answer:

2 3 and 4 the only thing that is incorrect is 5

Readme [11.4K]3 years ago

3 0

The answer would be all of them besides g=5
so the answer is:
g = 2
g = 3
g = 4

You might be interested in

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

Solve this for me 15x+82= 20x +12

Lina20 [59]

Answer:

here

Step-by-step explanation:

15x-20x= -82+12=>

=> - 5x= -70=>

= x= 14

8 0

3 years ago

Write a linear function f with f(−10)=4 and f(−2)=4. f(x)=

ZanzabumX [31]

Answer:

f(x) = 4

Step-by-step explanation:

Let us assume that the linear function f(x) = ax + b

Here, we have to find the value of a and b to know the function.

Given that f(-10) = 4 and f(-2) = 4

So, -10a + b = 4 ....... (1) and

-2a + b = 4 .......... (2)

From equations (1) and (2) we get a = 0 and b = 4.

So, the linear function is f(x) = 4. (Answer)

8 0

3 years ago

Simplify the expression. 9n - 3n + 5.

Greeley [361]

6n+5, because you just subtract 9n with 3n

5 0

3 years ago

Read 2 more answers

a certin shade of green paint is made from 5 parts yellow mixed with three parts blue. if 2 cans of yellow are used, how many ca

andrew-mc [135]

__Brainliest if helped!

5 Parts Yellow with 3 Parts blue
5Yellow with 3 Blue
1Yellow would be with 3/5 Blue
Hence ,
2 Yellow = (3/5)*2 Blue =6/5 Cans of blue or 1.2Cans of blue.

4 0

3 years ago