Question

2x+3>1 and 5x-9<6

Answer 1

2x + 3 > 1
2x>1-3
2x > -2
x> -1

5x - 9 ≤ 6
5x ≤6+9
5x≤15
x≤3

now as this is an"AND situation you need to see the overlap of region on the number line, so put open circle at -1 and an arrow gettign bigger from that and a closed circle at 3 and arrow less than that.

so the solution interval s shown by ( -1, 3]