Select the values that make the inequality minus, 4, k, is less than, minus, 84−4k<−84 true. Then write an equivalent inequality, in terms of kk.

Question

(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

11 16 18
20 21 22
24 26 31
Equivalent Inequality: kk

Answer 1

To make the inequality -4k < -84 true, we need to find values of k that satisfy this inequality.

By rearranging the inequality, we can divide both sides by -4, but we have to reverse the inequality sign since we are dividing by a negative number:

k > 21

So the values of k that make the inequality true are 22, 24, 26, 31.

The equivalent inequality in terms of k is k > 21.

Answer 2

Select the values that make the inequality 2, b, ≤, minus, 122b≤−12 true. Then write an equivalent inequality, in terms of bb.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-16 -11 -9
-7 -6 -5
-3 -1 4
Equivalent Inequality: bb

Answer 3

To make the inequality 2b ≤ -12 true, we need to find values of b that satisfy this inequality.

By dividing both sides by 2, we get:

b ≤ -6

So the values of b that make the inequality true are -16, -11, -9, -7, -6, -5, -3, -1, and 4.

The equivalent inequality in terms of bb is bb ≤ -6.

Answer 4

you cannot pick all of them

Answer 5

Apologies for the mistake. Let's go through the values again and select the ones that make the inequality true.

From the given options -16, -11, -9, -7, -6, -5, -3, -1, and 4, we need to choose the ones that satisfy the inequality 2b ≤ -12.

Let's plug in the values one by one:

For -16: 2(-16) = -32, which is not less than or equal to -12. So -16 does not satisfy the inequality.
For -11: 2(-11) = -22, which is less than or equal to -12. So -11 satisfies the inequality.
For -9: 2(-9) = -18, which is less than or equal to -12. So -9 satisfies the inequality.
For -7: 2(-7) = -14, which is less than or equal to -12. So -7 satisfies the inequality.
For -6: 2(-6) = -12, which is less than or equal to -12. So -6 satisfies the inequality.
For -5: 2(-5) = -10, which is less than or equal to -12. So -5 satisfies the inequality.
For -3: 2(-3) = -6, which is less than or equal to -12. So -3 satisfies the inequality.
For -1: 2(-1) = -2, which is less than or equal to -12. So -1 satisfies the inequality.
For 4: 2(4) = 8, which is not less than or equal to -12. So 4 does not satisfy the inequality.

Therefore, the values that make the inequality 2b ≤ -12 true are -11, -9, -7, -6, -5, -3, and -1.

Now, let's write an equivalent inequality in terms of b:

Since we divided by a positive number (2) in the original inequality, we don't need to reverse the inequality sign.

So, the equivalent inequality in terms of b is:

b ≤ -6.

Answer 6

Select the values that make the inequality 2, b, ≤, minus, 122b≤−12 true. Then write an equivalent inequality, in terms of bb.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 2 out of 2

-16 -11 -9
-7 -6 -5
-3 -1 4
Equivalent Inequality: bb
≤

Submit Answer

Answer 7

To make the inequality 2b ≤ -12 true, we need to find values of b that satisfy this inequality.

By dividing both sides by 2, we get:

b ≤ -6

Among the given options, the values that satisfy the inequality are -9, -7, -6, -5, -3, -1.

The equivalent inequality in terms of b is:

bb ≤ -6