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Which compound inequality is represented by the graph? –2 < x ≤ 4 –2 ≤ x < 4 x < –2 or x ≥ 4 x ≤ –2 or x > 4

User AlexSchell
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The only answer choice that accurately represents the graph is x < −2 or x ≥ 4.

To visualize the graph, let's consider each inequality separately:

x < −2: This inequality represents all x-values to the left of −2, excluding −2 itself.

x ≥ 4: This inequality represents all x-values to the right of 4, including 4 itself.

Combining these two inequalities, we can see that the graph includes all x-values less than −2 and all x-values greater than or equal to 4. This is represented by the answer choice x < −2 or x ≥ 4.

The other answer choices do not accurately represent the graph:

−2 < x ≤ 4: This inequality includes all x-values between −2 and 4, including −2 and 4 themselves. However, the graph excludes −2 and only includes x-values less than −2 and x-values greater than or equal to 4.

−2 ≤ x < 4: This inequality includes all x-values between −2 and 4, excluding 4 itself. However, the graph includes x-values greater than or equal to 4 as well.

x ≤ −2 or x > 4: This inequality includes all x-values less than or equal to −2 or all x-values greater than 4. However, the graph only includes x-values less than −2 and x-values greater than or equal to 4.

Therefore, the only answer choice that accurately represents the graph is x < −2 or x ≥ 4.

Which compound inequality is represented by the graph? –2 < x ≤ 4 –2 ≤ x < 4 x-example-1
User Ritesh Kumar Dubey
by
7.9k points

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