graph inequalities

Front

What does the inequality x ≥ 4 represent on a number line?

Back

The graph goes to the right starting from 4, including 4.

Front

Which inequality represents a value greater than or equal to 10?

Back

x ≥ 10

Front

What is the solution to the inequality -6a ≥ -36?

Back

a ≤ 6

Front

How do you graph the inequality s - 10 ≤ 1?

Back

You solve for s: s ≤ 11, and graph all values less than or equal to 11.

Front

What does the inequality x < 5 indicate?

Back

The graph includes all numbers to the left of 5, not including 5.

Front

If a graph shows a shaded area to the left of a point, what type of inequality is it likely representing?

Back

It likely represents a 'less than' (<) or 'less than or equal to' (≤) inequality.

Front

What is the difference between x > 3 and x ≥ 3?

Back

x > 3 does not include 3, while x ≥ 3 includes 3.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8, then divide by 2: x < 4.

Front

What does the graph of the inequality y > 2 look like?

Back

A horizontal line at y = 2, with shading above the line.

Front

If the solution to an inequality is x ≤ 7, how would you represent this on a number line?

Back

You would draw a closed circle at 7 and shade to the left.