Question

Question was provided via image upload.

Explanation:

Transcribe and interpret the inequality

The image shows a linear inequality written backwards or mirrored: "1) > 21 - x7 -".
Reversing this to standard left-to-right reading order gives:

$$-7x - 21 > 1$$

Let's solve this inequality for \(x\).

Solve the inequality for x

Add \(21\) to both sides of the inequality:

$$-7x > 22$$

Divide both sides by \(-7\) and reverse the inequality sign:

$$x < -\frac{22}{7}$$

Converting to a mixed number or decimal:

$$-\frac{22}{7} \approx -3.14$$

Determine the number line representation

The solution is \(x < -3.14\).
On a number line, this is represented by:

• An open circle at approximately \(-3.14\) (just to the left of \(-3\)).
• An arrow pointing to the left, covering values less than \(-3.14\).

Answer:

Solve the inequality and graph the solution:

$$-7x - 21 > 1$$

The solution is <blank>\(x < -\frac{22}{7}\)</blank>.