Problem

Identify every value in this set that is greater than \(-1.5\): \(-2\), \(-1.5\), \(-1.49\), \(-0.8\), \(0\), \(1/4\), \(1.6\), \(-7/4\).

A helper graphic for checking which number cards are greater than -1.5. Two rows of cards show -2, -1.5, -1.49, -0.8, 0, 1/4, 1.6, and -7/4. Below, a number line from -2 to 2 has a dashed boundary at -1.5 and all eight values plotted, with -1.49 placed just to the right of -1.5.

Big Picture

What this problem is really about

Treat negative one point five as a strict boundary: only values to its right qualify, and the boundary itself does not. Test every card independently, converting the fraction when that makes its position clearer and paying special attention to nearby negative decimals. A final scan of all eight cards ensures that no qualifying value was missed.

Answer choices

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Preview only

-1.49, -0.8, 0, 1/4, 1.6

-0.8, 0, 1/4, 1.6

-1.5, -1.49, -0.8, 0, 1/4, 1.6

-2, -1.49, -0.8, 0, 1/4, 1.6

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Identify every value in this set that is greater than \(-1.5\): \(-2\), \(-1.5\), \(-1.49\), \(-0.8\), \(0\), \(1/4\), \(1.6\), \(-7/4\).

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