Select all the answers that a less than (<) symbol would make a true statement. (1 point) Responses -7 ___ -6 -7 ___ -6 -6.25 ___-6.75 -6.25 ___-6.75 0 ___ -3 0 ___ -3 −178 ___ −124 negative 1 and 7 eighths___ negative 1 and 2 fourths 8 ___ -8

1 answer

To determine which statements using the less than (<) symbol are true, we can assess each pair:

  1. \(-7 < -6\) (True)
  2. \(-7 < -6\) (True, repeated)
  3. \(-6.25 < -6.75\) (False, because -6.25 is greater than -6.75)
  4. \(-6.25 < -6.75\) (False, repeated)
  5. \(0 < -3\) (False, because 0 is greater than -3)
  6. \(0 < -3\) (False, repeated)
  7. \(-178 < -124\) (True, because -178 is less than -124)
  8. \(-1\frac{7}{8} < -1\frac{2}{4}\) (True, because -1.875 < -1.5)
  9. \(8 < -8\) (False, because 8 is greater than -8)

The true statements are as follows:

  1. \(-7 < -6\)
  2. \(-7 < -6\) (repeated)
  3. \(-178 < -124\)
  4. \(-1\frac{7}{8} < -1\frac{2}{4}\)

So, the overall answers where "less than" would make a true statement are:

  • \(-7 < -6\)
  • \(-7 < -6\)
  • \(-178 < -124\)
  • \(-1\frac{7}{8} < -1\frac{2}{4}\)