Question

Determine the solution set of 2x>−8 and −5x+7=12.(1 point) Responses
{−4}
{x|x>−1}
{x|x>−4}
{−1}

Answer 1

are you sure

Answer 2

Determine the solution set of −3x+7=10 or 3x−9=0 .(1 point) Responses {3} left brace 3 right brace {−1} left brace negative 1 right brace The solution set is null. The solution set is null. {−1,3}

Answer 3

To solve 2x > -8, we first divide both sides of the inequality by 2:

2x/2 > -8/2
x > -4

So the solution to 2x > -8 is x > -4.

Now, let's solve -5x + 7 = 12. We can subtract 7 from both sides of the equation:

-5x + 7 - 7 = 12 - 7
-5x = 5

Dividing both sides by -5, we get:

-5x/-5 = 5/-5
x = -1

So the solution to -5x + 7 = 12 is x = -1.

Therefore, the solution set to the given system of inequalities and equation is {x|x > -4} or x > -4.

Answer 4

I apologize for the mistake in my previous response. Let's correct it.

To solve 2x > -8, we divide both sides by 2:

2x/2 > -8/2
x > -4

So the solution to 2x > -8 is x > -4.

Now, let's solve -5x + 7 = 12. We subtract 7 from both sides of the equation:

-5x + 7 - 7 = 12 - 7
-5x = 5

Dividing both sides by -5, we get:

-5x / -5 = 5 / -5
x = -1

So the solution to -5x + 7 = 12 is x = -1.

Therefore, the solution set to the given system of inequality and equation is {x|x > -4} or x > -4.

I apologize once again for the confusion caused.

Answer 5

To solve the equation −3x + 7 = 10, we first subtract 7 from both sides:

−3x + 7 - 7 = 10 - 7
−3x = 3

Dividing both sides by -3, we get:

−3x / -3 = 3 / -3
x = -1

So the solution to the first equation −3x + 7 = 10 is x = -1.

Now, let's solve the equation 3x - 9 = 0. We add 9 to both sides:

3x - 9 + 9 = 0 + 9
3x = 9

Dividing both sides by 3, we get:

3x / 3 = 9 / 3
x = 3

So the solution to the second equation 3x - 9 = 0 is x = 3.

Therefore, the solution set to the given system of equations is {x | x = -1, 3}, which can also be written as {−1, 3}.