Questions: Plot the set of integers indicated by the inequality. Be sure to plot every point that satisfies the inequality. a ≥ 2

Solution Steps

The given inequality is \( |a| \geq 2 \). This means that the absolute value of \( a \) must be greater than or equal to 2.

The absolute value \( |a| \geq 2 \) implies that \( a \) can be either greater than or equal to 2 or less than or equal to -2. Mathematically, this can be written as: \[ a \geq 2 \quad \text{or} \quad a \leq -2 \]

We need to find the integer values of \( a \) that satisfy the inequality. The integers that satisfy \( a \geq 2 \) are \( 2, 3, 4, \ldots \). The integers that satisfy \( a \leq -2 \) are \( -2, -3, -4, \ldots \).

Final Answer