Solve Literal Equations Inequality

Which of the following is a solution of x - 6 < 6 AND x + 4 > -1?

• 2

• -6

• 14

• 12

Which graph represents the inequality  6 > x

• A

• B

• C

• D

Which of the following compound inequalities would result in this graph?

• x > -2 or x > -4

• x > -2 and x < -4

• x > -2 and x > -4

• x > -2 or x < -4

Which of the following would result in no solution?

• x > 3 and x < 10

• x > 3 or x < 10

• x < 3 or x < 10

• x < 3 and x > 10

Solve:
4(2a + 3) < 3(a - 1)

• a<-3

• a>-3

• a<3

• a>3

Give the final solution set for 5x - 2 < 3 or 2x - 6 < 4

• x < 5

• x < 1

• x < 1 or x < 5

• all real numbers

Solve: 8r - 5 > 6r - 1 or 4 + 4r < 3r - 3

• All real numbers

• r > 2

• r < -7

• r < -7 or r > 2

5x + 1 > 21 AND 3x + 2 < -1

• All real numbers

• x < -1 and x > 4

• No solution

• x > 4

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

Reorder the following to show the correct steps for solving equations and inequalities.

• Check your solution or solution set.

• Use inverse/opposite operations to the isolate the variable.

• Distribute, if necessary.

• Use inverse/opposite operations to move terms with variables to one side of the equation or inequality and constants to the other side.

• Combine like terms on the same side of the equation or inequality, if necessary.