college algerbra

Question

write in interval notation: 50 is less than or equal to 3x-4 and negative 3/6 is greater than or equal to 177/6

Answer 1

Since -3/6 is NOT greater than or equal to 177/6, that part of the problem has no solution. Since we are anding a no solution with something else, the whoe problem has no solution.

This should be written as

∅

although some teachers might accept (,).

Answer 2

Hello Kerrigan;

50 ≤ 3x - 4

54 ≤ 3x ==> 18 ≤ x

Then, we can represent it in interval notation as [18,∞)