Question

0.2t-19.2<3.2t and 4.2-6t>0.6 set builder notation

Answer 1

0.2t-19.2<3.2t and 4.2-6t>0.6 implies that

-19.2<3t and -6t>-3.6 which means (by division)

-19.2/3 < t and t < -3.6/-6

So, you have

- 6.4 < t and t < 0.6

In set builder form, you have: {t | - 6.4 < t and t < 0.6}

OR {t | - 6.4 < t < 0.6}