Representing Relationships — Test

Question 2 • Transition Mathematics for Seniors

What is the solution to the inequality 5 point 2 5 minus b is greater than or equal to 6 point 5 ?

Answer

Image with description A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

Image with description A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

Image with description A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

Image with description A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.

Explanation

Subtract 5.25 from both sides: −b ≥ 1.25. Dividing by −1 reverses the inequality, giving b ≤ −1.25. The solution includes −1.25 and all numbers to its left, so choose the solid circle with shading toward −5: choice C.

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