Keystone Algebra

A compound inequality is shown below. Which graph represents the solution of the inequality?

• A

• B

• C

• D

• 2x – (3 + 10x) = 5(3 + x)

  This step is justified by the associative property.

• 2(x – 3) = 5(3 + x) – 10x

  This step is justified by the associative property.

• 2x – 6 + 10x = 15 + 5x

  This step is justified by the distributive property.

• 2x – 3 + 10x = 15 + x

  This step is justified by the distributive property.

• 1 < 3x < 2

• 1 < x + 2 < 4

• 6 < 2x < 9

• 6 < x + 3 < 9

• A

• B

• C

• D

• -2x + y ≤ 4

  2x + 3y ≤ 6

• -2x + y ≥ 4

  2x + 3y ≥ 6

• -2x + y ≤ 4

  2x + 3y ≥ 6

• -2x + y ≥ 4

  2x + 3y ≤ 6

• - 8

• - 5

• 2

• 5

• Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the associative property.

• Lewis added 3 and x to eliminate the parentheses. This procedure is justified by the distributive property.

• Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the associative property.

• Lewis multiplied x and 7 by 3 to eliminate the parentheses. This procedure is justified by the distributive property.

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D