Question

problem 6
let x = -2, y = 4, and z = 2.
order these expressions from least to greatest.
least
x·y
x - 2y
x - z
xyz
greatest

Explanation:

Step1: Calculate $x \cdot y$

Substitute $x=-2, y=4$:
$x \cdot y = (-2) \times 4 = -8$

Step2: Calculate $x - 2y$

Substitute $x=-2, y=4$:
$x - 2y = -2 - 2\times4 = -2 - 8 = -10$

Step3: Calculate $x - z$

Substitute $x=-2, z=2$:
$x - z = -2 - 2 = -4$

Step4: Calculate $xyz$

Substitute $x=-2, y=4, z=2$:
$xyz = (-2) \times 4 \times 2 = -16$

Step5: Order the values

Compare results: $-16 < -10 < -8 < -4$

Answer:

LEAST: $xyz$
$x-2y$
$x \cdot y$
$x-z$
GREATEST