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charle [14.2K]
3 years ago
9

URGENT PLEASE HELP Select the correct solution set. x + 17 ≤ -3 {x | x ≤ -20} {x | x ≤ 14} {x | x ≥ -20}

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

The correct answer is the first solution set.

Step-by-step explanation:

If we substitute -20 into the equation we get

-20+17≤-3

-3≤-3

So,the inequality is right.

We can check the second one

14+17≤-3

31≤3 The inequality is false.

We can check the last one

-20+17≤-3

-3≤3 It works however there is a difference between the first one and the last one and that is the sign.For the first one there x≤-20 meaning the greatest number x can be is -20.For the last one x≥-20 which means -20 is the least value x can be.

If we substitude -21 into the equation we get

-21+17≤-3

-4≤-3

The inequality is false because -4 is not smaller than -3.

So,the right answer is the first solution set.

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Let E = {(x, y) e R2|xy &gt; 0}. Determine whether E is a subspace of R2 . X3
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E is not a subspace of  \mathbb{R}^2

In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

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It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

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5 0
3 years ago
Solve each system of equation using any method.<br> 7 x + y = 5 2x - y = 4
nexus9112 [7]

Answer:

x = 1

y= -2

Step-by-step explanation:

to solve this system of equation , simultaneously using the substitution method

we say let

7 x + y = 5 ............................................. equation 1

2x - y = 4 ................................................... equation 2

from equation 2

2x - y = 4 ................................................... equation 2

2x - 4 = y

y = 2x -4.......................................................... equation 3

put the value of the y = 2x -4 into equation 1

7 x + y = 5 ............................................. equation 1

7x + 2x - 4 = 5

9x-4 = 5

9x = 5 + 4

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divide both sides by the coefficient of x which is 9

9x/9 = 9/9

x = 1

substitute the value of x = 1 into equation 3

y = 2x -4.......................................................... equation 3

y = 2(1) -4

y = 2 - 4

y = -2

to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.

2x - y = 4 ................................................... equation 2

2(1) -(-2) = 4

2 + 2 = 4

4=4................................... proved

7 0
3 years ago
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