To solve the inequality 56 < 7x for x, we should isolate x by dividing both sides of the inequality by 7.
Here's how it is done step by step:
Step 1: Write down the inequality.
56 < 7x
Step 2: Divide both sides by 7 to isolate x.
(56/7) < (7x/7)
Step 3: Simplify both sides.
8 < x
This tells us that x must be greater than 8.
The solution to the inequality is x > 8.
To graph this solution on the number line:
```plaintext
... |---|---|---|---|---|---|---|---|---|....
5 6 7 8 9 10 11 12 13 14 ...
```
The area where x is greater than 8 is indicated by an open circle at 8 (since 8 is not included in the solution) and an arrow to the right to show that all numbers greater than 8 are included in the solution. The open circle symbolizes that the value at that point is not included in the solution set (if it were included, it would be a closed circle). The arrow to the right indicates all values to the right of 8 are included in the solution set.
Solve for xx and graph the solution on the number line below.
56, is less than, 7, x
56<
7x
1 answer