Graphing Inequalities

• It indicates that x is less than or equal to -3, including -3 itself.

• It indicates that x is greater than or equal to -3.

• It indicates that x is exactly -3.

• It indicates that x is less than -3, excluding -3.

What does the inequality @@x < -3@@ signify?

• It signifies that x can take any value less than -3.

• It signifies that x can take any value greater than -3.

• It signifies that x is equal to -3.

• It signifies that x can take any value between -3 and 0.

• x can take any value greater than 12.

• x can take any value less than 12.

• x can only be equal to 12.

• x can take any value between 10 and 15.

How do you interpret the inequality @@x ≤ 12@@ in a real-life context?

• A student must be 12 years old or younger to participate in a program.

• A student must be at least 12 years old to participate in a program.

• A student can be any age to participate in a program.

• A student must be exactly 12 years old to participate in a program.

What does the inequality @@x > 7@@ represent on a number line?

• It represents all numbers less than 7, with a closed circle at 7 indicating that 7 is included.

• It represents all numbers greater than 7, with an open circle at 7 indicating that 7 is not included.

• It represents all numbers equal to 7, with a closed circle at 7 indicating that 7 is included.

• It represents all numbers greater than or equal to 7, with an open circle at 7 indicating that 7 is not included.

What does the inequality @@x < 12@@ represent on a number line?

• It represents all numbers less than 12, with an open circle at 12 indicating that 12 is not included.

• It represents all numbers greater than 12, with a closed circle at 12 indicating that 12 is included.

• It represents all numbers equal to 12, with a closed circle at 12 indicating that 12 is included.

• It represents all numbers less than or equal to 12, with an open circle at 12 indicating that 12 is not included.

What is the graphical representation of @@x ≤ 7@@?

• A closed circle at 7 and shading to the right.

• A closed circle at 7 and shading to the left.

• An open circle at 7 and shading to the left.

• An open circle at 7 and shading to the right.

How do you represent the inequality 'x is less than 7' in symbols?

• @@x < 7@@

• @@x > 7@@

• @@x = 7@@

• @@x eq 7@@

How do you graph the inequality @@x > -3@@?

• Draw a number line, place an open circle at -3, and shade to the right to indicate all numbers greater than -3.

• Draw a number line, place a closed circle at -3, and shade to the left to indicate all numbers less than -3.

• Draw a number line, place an open circle at -3, and shade to the left to indicate all numbers less than -3.

• Draw a number line, place a closed circle at -3, and shade to the right to indicate all numbers greater than -3.

What is the difference between @@x < 5@@ and @@x ≤ 5@@?

• @@x < 5@@ does not include 5, while @@x ≤ 5@@ includes 5.

• @@x < 5@@ includes 5, while @@x ≤ 5@@ does not include 5.

• Both @@x < 5@@ and @@x ≤ 5@@ include 5.

• @@x < 5@@ is greater than @@x ≤ 5@@.