Question

select the values that make the inequality ( t < 4 ) true. (numbers written in order from least to greatest going across.)
answer (keep 1 out of 3)
-4 -1 1
3 3.9 3.99
3.999 4 4.001
4.001 4.1 5
7 9 12

Explanation:

Step1: Understand the inequality

We need to find all values of \( t \) such that \( t < 4 \). This means we are looking for numbers that are less than 4.

Step2: Check each value

• For \(-4\): \(-4 < 4\), so it is valid.
• For \(-1\): \(-1 < 4\), so it is valid.
• For \(1\): \(1 < 4\), so it is valid.
• For \(3\): \(3 < 4\), so it is valid.
• For \(3.9\): \(3.9 < 4\), so it is valid.
• For \(3.99\): \(3.99 < 4\), so it is valid.
• For \(3.999\): \(3.999 < 4\), so it is valid.
• For \(4\): \(4 = 4\), not less than 4, so invalid.
• For \(4.001\): \(4.001 > 4\), so invalid.
• For \(4.01\): \(4.01 > 4\), so invalid.
• For \(4.1\): \(4.1 > 4\), so invalid.
• For \(5\): \(5 > 4\), so invalid.
• For \(7\): \(7 > 4\), so invalid.
• For \(9\): \(9 > 4\), so invalid.
• For \(12\): \(12 > 4\), so invalid.

Step3: Order from least to greatest

Now we order the valid values: \(-4\), \(-1\), \(1\), \(3\), \(3.9\), \(3.99\), \(3.999\)

Answer:

\(-4\), \(-1\), \(1\), \(3\), \(3.9\), \(3.99\), \(3.999\)