Solve and graph the solution for this inequality. 7n+1>169 in 4 steps

5 answers

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: Graph the solution on a number line. Since the inequality is "greater than," the graph should be an open circle at 24, indicating that 24 is not included in the solution set. Then draw an arrow to the right to indicate that any number greater than 24 is also a solution.

Step 4: Write the final solution: n > 24
its not a graph
Apologies for the confusion. Here is the solution with a graphical representation:

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: Graph the solution on a number line. Since the inequality is "greater than," the graph should start at a filled-in circle or point at 24 (inclusive) and extend indefinitely to the right.

```
----------------------> (Number Line)
-10 -5 0 5 10 15 20 25 30 35 ...

|
24 and any number greater than 24
```

Step 4: Write the final solution: n > 24
Solve and graph the solution for this inequality. −3x+5≤23 make 4 steps to solve it
Step 1: Subtract 5 from both sides of the inequality:

-3x + 5 - 5 ≤ 23 - 5
-3x ≤ 18

Step 2: Divide both sides of the inequality by -3. Remember that when dividing by a negative number, the direction of the inequality sign should be reversed:

(-3x)/(-3) ≥ 18/(-3)
x ≥ -6

Step 3: Graph the solution on a number line. Since the inequality is "greater than or equal to," the graph should be a filled-in circle at -6, indicating that -6 is included in the solution set. Then draw an arrow to the right to indicate that any number greater than -6 is also a solution.

```
<---------------------- (Number Line)
-10 -5 0 5 10 15 20 25 30 ...

|
-6 and any number greater than -6
```

Step 4: Write the final solution: x ≥ -6.