Solving inequalities by multiplying or dividing

Question

Solving inequalities by multiplying or dividing

(-y/6)<2

y___21

1. <
2. >

please answer the y ? 21 1 or 2
and how to do it

Answer 1

-y/6 < 2

y/6 > -2
y > -12

Answer 2

1. 7

2. 8
3. 7x+5=4x+5+3x
4. line with) -5 -4 -2 (dot on -2
5. k<0
6. q>-1
7. p<8
8. g>90
9. n-6>2;n>8
- -
try to avoid any lettered versions of this high chance they're wrong

Answer 3

To solve the inequality (-y/6) < 2, you can multiply both sides of the inequality by 6 to eliminate the denominator. Remember that when multiplying or dividing an inequality by a negative number, you must reverse the direction of the inequality.

Let's solve it step by step:

1. Multiply both sides of the inequality by 6:
6 * (-y/6) < 6 * 2

This simplifies to:
-y < 12

2. Now, to isolate y, divide both sides of the inequality by -1. Since we are dividing by a negative number, we need to flip the inequality sign:
(-y)/(-1) > 12/(-1)

This simplifies to:
y > -12

So, the solution to the inequality is y > -12.

Now let's solve y ___ 21:

This inequality is an "unknown" inequality, as it is not provided with any inequality symbol (i.e. <, >, ≤, ≥). Therefore, without an inequality symbol, we cannot determine the relationship between y and 21.

Answer 4

To solve the inequality (-y/6) < 2, we need to isolate the variable "y" on one side. The first step is to eliminate the fraction by multiplying both sides of the inequality by 6. Remember that when you multiply or divide both sides of an inequality by a negative number, you need to reverse the inequality sign. Now let's solve it step by step:

(-y/6) < 2

To eliminate the fraction, we multiply both sides by 6:

6 * (-y/6) < 6 * 2

This simplifies to:

-y < 12

Next, we want to isolate the variable "y" by multiplying both sides by -1 to change the sign:

-1 * -y > -1 * 12

This simplifies to:

y > -12

So, the solution to the inequality (-y/6) < 2 is y > -12. This means that any value of "y" greater than -12 will satisfy the inequality.

Now, let's move on to the second part of your question, which is y ___ 21. You need to determine whether the inequality should have the "less than" (<) sign or the "greater than" (>) sign. To do this, we can look at the inequality that we just solved, y > -12.

Since -12 is not equal to 21, we can conclude that the inequality y ___ 21 should have the "greater than" (>) sign because we already determined that y > -12.

Therefore, the correct answer is:
y > 21 (answer choice 2)