QuestionWrite a compound inequality for the graph shown below. Use $x$ for your variable. $\square$
or $\leq \square$ $\geq \square$

Studdy Solution

STEP 1

1. The graph represents a range of values that are not inclusive of the endpoints.
2. The open circles at 1 and 6 indicate that these values are not included in the solution set.
3. The shaded region between 1 and 6 indicates the range of values for the compound inequality.

STEP 2

1. Identify the type of inequality based on the open circles.
2. Write the compound inequality using the variable $x$ .

STEP 3

Determine the type of inequality for the endpoints. Since the circles at 1 and 6 are open, the inequalities will be strict (i.e., use "<" rather than "≤").

STEP 4

Write the compound inequality. The shaded region between the open circles indicates that $x$ is greater than 1 and less than 6.
$1 < x < 6$
This compound inequality represents all values of $x$ that are greater than 1 and less than 6.

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