Question

Solve for x: -15x – 3 > 42

Answer 1

Answer: X < -3

Step-by-step explanation:

-15x - 3 > 42

-15x - 3 + 3 > 42 + 3

-15x > 45

-15x/-15 > 45/-15

Since we are dividing by a negative, we flip the >

x < -3

So, let's check

-4 < -3

-15*-4 - 3 > 42

60 - 3 > 42

57 > 42

Now, let's see if -3 will work.

-15*-3 - 3 > 42

45 - 3 > 42

42 > 42 (False)

Okay, now let's try 4

-15*4 - 3 > 42

-60 - 3 > 42

-63 > 42

This is false, so it is x < -3

Answer 2

The correct answer is x < -3

Explanation:

To solve our equation we first need to set out our equation, -15x – 3 > 42. Next, we add 3 to both sides of our equation, -15x - 3 + 3 > 42 + 3 = -15x > 45. Then, we multiply both sides by -1(Or in other words, reverse the inequality), -15x * -1 > 45 * -1 = 15x < -45. And then, we divide both sides by 15, 15x/15 < -45/15 = x < -3. Finally, we have our answer of x < -3.

Hope This Helps!!!

-AnimeDabGirl