Q 5.2 (P4)

Front

What symbols are used for a closed circle when graphing an inequality?

Back

≤, ≥

Front

What does the inequality a ≥ 11 represent on a number line?

Back

The graph includes 11 and all numbers greater than 11.

Front

When graphing the inequality 5x − 4 > 21, what is the first step to solve for x?

Back

Add 4 to both sides to isolate the term with x.

Front

What is the solution to the inequality 15 + 7x ≥ 29?

Back

x ≥ 2

Front

What does a closed circle on a number line indicate?

Back

The value is included in the solution set.

Front

What symbols are used for an open circle when graphing an inequality?

Back

<, >

Front

How do you represent the inequality a < 11 on a number line?

Back

Draw an open circle at 11 and shade to the left.

Front

What is the difference between ≤ and < in terms of graphing?

Back

≤ includes the endpoint (closed circle), while < does not (open circle).

Front

If the solution to an inequality is x > 3, how is this represented on a number line?

Back

An open circle at 3 and shading to the right.

Front

What does the inequality x ≤ -1 mean in terms of a number line?

Back

The graph includes -1 and all numbers less than -1.