Question

Solve the following and Write Answer in Interval Notation. -2(x+1) -3 ≤ -12 and 3x-5 <13

Answer 1

On solving the first equation you'll get \[x \ge 7/2 \]
The intreval is : \[[3.5, \infty )\]
On solving the second equation you'll get \[x < 6\]
The intreval is : \[( -\infty , 6 )\]

Answer 2

how would i put both of the answers in interval notation so that it is together?

Answer 3

Oh in that case, you must find the intersection of the two intervals.
The answer is [ 3.5 , 6 ) .