Linear Inequality and Number Line

What do you do to solve the inequality:      -2x ≤ 10

• divide by -2

• multiply by -2

• multiply by -2 and flip the inequality

• divide by -2 and flip the inequality

Which of the following inequalities matches the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

Which of the following equations match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤  2/5x + 1

• y ≥ -2/5x - 1

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

• (3, 4)

• (3, 0)

• (2, 1)

• (1, 1)

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

• 4x − 5 > 9

• x + 4y = 7

• 2x − 3y ≥ 10

• 6 + 7y < 11

It indicates that the points are part of the solutions of the inequality.

• Dotted Line

• Broken line

• Dashed Line

• Solid Line

How many solutions does a linear inequality in two variables have?

• 0

• 2

• 1

• Infinite

Which of the following situation DOES NOT illustrate x + y ≤ 7?

• The sum of two numbers is not greater than seven.

• The sum of two numbers is less than seven.

• The sum of two numbers is not more than seven.

• The sum of two numbers is at most seven.

Which of the following is a system of linear inequalities in two variables?

• 3m + 2n ≤ 4

  4m – 3n ≥ 10

• 4a - 3b =5

  a + 2b = 7

• 3x ≥ 16

  y ≥ 15

• 7c + 3d < 8

  5c – 7 = 10