can you solve 7n+1>169

Question

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?
should we shade left?
should we shade right?

Answer 1

To solve the inequality 7n + 1 > 169 step by step:

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

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

Step 3: Since the inequality is strictly greater than, we don't include the boundary point. Therefore, we use an open circle on the solution.

Step 4: Finally, since the inequality is n > 24, we need to shade to the right of the number line.

So, the solution can be represented as n > 24 with an open circle on 24 and shading to the right.