Mastering Linear Inequalities

Graph the inequality y < 2x + 3 on a coordinate plane.

• Graph the line y = 2x + 3 as a solid line and shade above it.

• Graph the line y = 2x + 3 as a dashed line and shade above it.

• Graph the line y = 2x + 3 and do not shade any area.

• Graph the line y = 2x + 3 as a dashed line and shade below it.

Solve the inequality 3x - 5 < 10 and express the solution set.

• x ≤ 5

• x < 5

• x = 5

• x > 5

What does the symbol '>' represent in an inequality?

• The left value is less than the right value.

• The left value is equal to the right value.

• The left value is not comparable to the right value.

• The left value is greater than the right value.

Write an inequality for the statement: 'A number is less than 15.'

• x = 15

• x < 15

• x > 15

• x ≤ 15

Find the solution to the inequality x + 4 ≥ 10 on a number line.

• x < 6 on a number line

• x ≤ 6 on a number line

• x > 10 on a number line

• x ≥ 6 on a number line

If 2x + 1 > 5, what is the value of x?

• x = 2

• x < 1

• x < 2

• x > 2

Interpret the inequality -3 ≤ x < 2 in words.

• x is greater than or equal to -3 and greater than 2.

• x is between -3 and 2, excluding both -3 and 2.

• x is between -3 and 2, inclusive of -3 but not including 2.

• x is less than -3 and less than 2.

Write an inequality for the statement: 'The temperature is at least 20 degrees.'

• T < 20

• T > 20

• T >= 20

• T <= 20

Graph the inequality x - 4 ≤ 2 on a number line.

• Graph a closed circle at 6 and shade to the left.

• Graph a closed circle at 2 and shade to the left.

• Graph a closed circle at 4 and shade to the right.

• Graph an open circle at 6 and shade to the right.

Solve the inequality 5 - 2x > 1 and provide the solution set.

• x > 2

• x = 2

• x ≤ 2

• x < 2