Practice Test

Question 7 • Mathematics III

Which graph shows all the values that satisfy 2 ninths x plus 3 is greater than 4 and 5 ninths ?

Answer

Image with description A number line lists negative 10 to 10 by 5. An open circle is on 7. An arrow goes to the left of 7.

Image with description A number line lists negative 10 to 10 by 5. An open circle is on negative 7. An arrow goes to the right of negative 7.

Image with description A number line shows integers from negative 10 to 10. An open circle is at negative 7, with a thick line extending from it to the left, ending in an arrow.

Image with description A number line lists negative 10 to 10 by 5. An open circle is on 7. An arrow goes to the right of 7.

Explanation

Interpret “4 and 5 ninths” as the mixed number 4 5/9. Subtract 3 from both sides: (2/9)x > 14/9; dividing by 2/9 gives x > 7. The solution is shown by an open circle at 7 and an arrow to the right, which is choice B.

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