Answer
a) $x-6$
b) $6 \lt x$
Work Step by Step
a) To translate the given sentence into an expression, we will use x for the unknown number. "6 less than a number" requires us to subtract 6 from the number, x. We start with x and subtract 6 from it. Therefore, the expression is: $x-6$
b) To translate the given sentence into an expression, we will use x for the unknown number. "6 is less than a number" is an inequality expressing that 6 is less than a number, x. Therefore, we will use the "less than" sign, and our expression is: $6 \lt x$