Practice Test

Question 10 • Mathematics III

Which graph shows the solution set of the compound inequality 1 point 5 x minus 1 is greater than 6 point 5 or 7 x plus 3 is less than negative 25 ?

Answer

Image with description A number line labeled from negative 10 to 10 in increments of 5 with tick marks every 1 unit. The graph consists of a horizontal line segment extending from an open circle at negative 4 to an open circle at 5.

Image with description A number line labeled from negative 10 to 10 in increments of 5 with tick marks every 1 unit. The graph consists of an open circle at 5 with a line extending to the right ending with an arrow pointing right.

Image with description A number line labeled from negative 10 to 10 in increments of 5 with tick marks every 1 unit. The graph consists of an open circle at negative 4 with a line extending to the left ending with an arrow pointing left.

Image with description A number line lists negative 10 to 10 by 5. An open circle on negative 4 and another one on 5, and the arrows go in opposite directions.

Explanation

Solve each inequality separately because the statements are joined by “or.” From 1.5x − 1 > 6.5, add 1 and divide by 1.5 to get x > 5. From 7x + 3 < −25, subtract 3 and divide by 7 to get x < −4. The solution includes values to the right of 5 or to the left of −4, with open circles at both endpoints, so choice A is correct.

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