Introduction to Linear Inequalities

Which of the following is a linear inequality in two variables?

• x + y < 4

• 2x + 3y = 10

• y ≥ 1

• x ≤ 3

Which of the following describes the graph of a linear inequality in two variables?

• Half-Line

• Half-plane

• Parabola

• Straight Line

Which symbol is NOT used in linear inequalities in two variables?

• ≤

• <

• ≥

• =

Which of the following illustrates linear inequality in two variables?

• y > 3

• 2x + 3y = 10

• 4x ≥ 2

• 5x – y < 4

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Which of the following mathematical sentences illustrates a linear inequality in two variables?

• The value of twice a number x added by nine is less than 26.

• Thrice a number m is twice another number n.

• A number n multiplied by 8 results to twice a number p.

• Four times a number s subtracted from a number t is at most 33.

What inequality represents the number line above?

• g < -4

• g > -4

• g ≤ -4

• g ≥ -4

What inequality represents the number line shown above?

• t < -5 or t ≥ 1

• t ≤ -5 or t > 1

• -5 < t ≤ 1

• -5 ≤ t < 1

x > 3

What are the possible values of x?

• -1

• 3

• 3.01

• 5

• 100

Which number line best represents the inequality

x ≠ 0?

• A

• B