Question

1. which of the following inequalities will match the graph when solved? select all that apply.

\\(-7 + t < 9\\)

\\(7 + r \ge 2\\)

\\(5 + d < 8\\)

\\(f - 2 \le 1\\)

\\(v - 18 < -15\\)

Explanation:

⚡ Using what you learned: Solving One-Step Inequalities

Step 1: Identify the inequality from the graph

The graph shows an open circle at \( 3 \) with an arrow pointing to the left. This represents all numbers strictly less than \( 3 \):

$$ x < 3 $$

Step 2: Solve each given inequality

• First inequality:

$$ -7 + t < 9 $$

$$ t < 16 $$

• Second inequality:

$$ 7 + r \ge 2 $$

$$ r \ge -5 $$

• Third inequality:

$$ 5 + d < 8 $$

$$ d < 3 $$

• Fourth inequality:

$$ f - 2 \le 1 $$

$$ f \le 3 $$

• Fifth inequality:

$$ v - 18 < -15 $$

$$ v < 3 $$

Answer:

• \( 5 + d < 8 \)
• \( v - 18 < -15 \)