Question

can you solve 7n+1>169
step by step
and there are 4 steps
should we divide by 7 and change the sign?
should we draw a closed circle on the solution?

Answer 1

To solve the inequality 7n + 1 > 169 step-by-step, let's begin:

Step 1: Subtract 1 from both sides of the inequality to isolate the 7n term:
7n + 1 - 1 > 169 - 1
7n > 168

Step 2: Divide both sides of the inequality by 7 to solve for n:
(7n)/7 > 168/7
n > 24

Step 3: Since the inequality sign is "greater than" (>), the solution is not inclusive of 24. So, we need an open circle on the number 24 to represent this.

Step 4: Finally, we write the solution as a compound inequality:
n > 24

Thus, the solution to the inequality 7n + 1 > 169 is n > 24, with an open circle on the number 24 to indicate the solution is not inclusive of it.