Question

1. graph $t < 6$ on the number line.
2. write the inequality that is represented on the graph.
3. ellie has a gift card to buy a new computer. she says that the card’s value is not enough to buy any of the computers shown in the table. let $v$ be the value of the gift card. write an inequality that best describes the value of the gift card.

computer model	cost
brand b	$377
brand c	$413
brand d	$391

1. the graph shows the inequality $x > 0.3$. select all the number possible values of $y$.
2. choose the graph that shows the inequality $z < 4.4$.

Explanation:

Question 5 Solution:

Step1: Recall inequality graph rules

For \( z < 4.4 \), the graph should have an open circle at \( 4.4 \) (since \( < \), not \( \leq \)) and the arrow pointing left (towards values less than \( 4.4 \)).

Step2: Analyze each option

• Option A: Open circle at \( 4.4 \), arrow left. Matches \( z < 4.4 \).
• Option B: Open circle at \( 4.5 \), arrow left. Represents \( z < 4.5 \), not \( 4.4 \).
• Option C: Open circle at \( 4.4 \), arrow right. Represents \( z > 4.4 \).
• Option D: Open circle at \( 4.3 \), arrow right. Represents \( z > 4.3 \).

Answer:

A. The graph with open circle at 4.4 and arrow left (4.0, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0 with open circle at 4.4 and left arrow)