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Question

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5
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Select the values that make the inequality t, is greater than, minus, 1t>−1 true.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 3 out of 3
-9 -6 -4
-2 -1.1 -1.01
-1.001 -1 -0.999
-0.99 -0.9 0
2 4 7

Answer 1

The values that make the inequality t > -1 true are -0.999, -0.99, -0.9, 0, 2, 4, and 7.

Answer 2

Select the values that make the inequality minus, 2, a, is less than, 86−2a<86 true. Then write an equivalent inequality, in terms of aa.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 3

-53 -48 -46
-44 -43 -42
-40 -38 -33
Equivalent Inequality: aa

Answer 3

To solve the inequality 86 - 2a < 86, we can simplify it by subtracting 86 from both sides:

-2a < 0

Next, we can divide both sides of the inequality by -2, remembering that when we divide by a negative number, the inequality sign flips:

a > 0

So the values that make the inequality true are all numbers greater than 0.

The equivalent inequality in terms of a is:

a > 0

Answer 4

Select the values that make the inequality minus, 2, a, is less than, 86−2a<86 true. Then write an equivalent inequality, in terms of aa.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 3

-53 -48 -46
-44 -43 -42
-40 -38 -33

Answer 5

To solve the inequality -2a < 86 - 2a < 86, we can start by subtracting 86 from both sides:

-2a - 86 < 0 < 86 - 2a

Next, we can add 2a to all parts of the inequality to isolate the variable:

-86 < 2a < 86

Now, we can divide all parts of the inequality by 2, remembering to flip the inequality signs:

-43 < a < 43

So, the values that make the inequality true are all numbers between -43 and 43, excluding -43 and 43.

The equivalent inequality in terms of a is:

-43 < a < 43