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select the values that make the inequality ( b leq 4 ) true. (numbers w…

Question

select the values that make the inequality ( b leq 4 ) true. (numbers written in order from least to greatest going across.) answer attempt 1 out of 2 -4 -1 1 3 3.9 3.99 3.999 4 4.001 4.01 4.1 5 7 9 12

Explanation:

Step1: Understand the inequality

The inequality is \( b \leq 4 \), which means we need to find all values of \( b \) that are less than or equal to 4.

Step2: Evaluate each value

  • For \(-4\): \(-4 \leq 4\) (true)
  • For \(3\): \(3 \leq 4\) (true)
  • For \(3.999\): \(3.999 \leq 4\) (true)
  • For \(4.01\): \(4.01 > 4\) (false)
  • For \(7\): \(7 > 4\) (false)
  • For \(-1\): \(-1 \leq 4\) (true)
  • For \(3.9\): \(3.9 \leq 4\) (true)
  • For \(4\): \(4 \leq 4\) (true)
  • For \(1\): \(1 \leq 4\) (true)
  • For \(3.99\): \(3.99 \leq 4\) (true)
  • For \(4.001\): \(4.001 > 4\) (false)
  • For \(4.1\): \(4.1 > 4\) (false)
  • For \(5\): \(5 > 4\) (false)
  • For \(9\): \(9 > 4\) (false)
  • For \(12\): \(12 > 4\) (false)

Step3: Order from least to greatest

Now, we order the true values from least to greatest: \(-4, -1, 1, 3, 3.9, 3.99, 3.999, 4\)

Answer:

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