Question

1 < 4d +9 < 21 graph it on the number line

Answer 1

Answer: See the diagram below.

The graph consists of a closed circle at -2, an open circle at 3, and shading in between.

===============================================

Work Shown:

$1 \le 4d+9 < 21\\\\1-9 \le 4d+9-9 < 21-9\\\\-8 \le 4d < 12\\\\-8 \div 4 \le 4d \div 4 < 12 \div 4\\\\-2 \le d < 3$

Notes:

In the 2nd step, I subtracted 9 from all sides to undo the "plus 9"

In the 4th step, I divided all sides by 4 to undo the multiplication.

-------------------

To graph this, you'll have a closed circle at -2 and an open circle at 3. The shaded region is in between. The open circle means "do not include this endpoint".

See the diagram below.