Exploring Writing and Graphing Inequalities

What does the inequality symbol 'x < 0' represent?

• All values equal to zero

• All values greater than or equal to zero

• All values less than zero

• All values greater than zero

How is the inequality 'x ≤ 0' represented on a number line?

• Open circle at 0, shading to the right

• Closed circle at 0, shading to the left

• Open circle at 0, shading to the left

• Closed circle at 0, shading to the right

What is a helpful tip for remembering the 'less than' symbol?

• It looks like a greater than symbol

• It has the smaller side first when read from left to right

• It has the larger side first when read from left to right

• It is always used with positive numbers

How would you write the word sentence 'a number x is at most negative 10' as an inequality?

• x > -10

• x ≥ -10

• x < -10

• x ≤ -10

What is the first step in determining if a given value is a solution to an inequality?

• Convert the inequality to a word sentence

• Substitute the given value into the inequality

• Rewrite the inequality

• Graph the inequality

Is -5 a solution to the inequality -5 + 12 > 7?

• Yes, because -5 + 12 equals 7

• No, because -5 + 12 equals 7 and 7 is not greater than 7

• Yes, because -5 + 12 is greater than 7

• No, because -5 + 12 is less than 7

What are the three things needed to graph an inequality on a number line?

• Boundary number, shading, and arrows

• Boundary number, open circle, and closed circle

• Boundary number, boundary circle, and shading

• Boundary number, boundary circle, and arrows

How is the inequality 'z ≥ 4' represented on a number line?

• Closed circle at 4, shading to the left

• Open circle at 4, shading to the right

• Open circle at 4, shading to the left

• Closed circle at 4, shading to the right

What should you do if the variable is located on the right side of the inequality?

• Read the inequality backwards

• Ignore the inequality

• Rewrite the inequality with the variable on the left

• Both A and C

How is the inequality 't > -1/2' represented on a number line?

• Closed circle at -1/2, shading to the left

• Open circle at -1/2, shading to the right

• Closed circle at -1/2, shading to the right

• Open circle at -1/2, shading to the left