two step inequalities and equations

How do you solve the inequality @@11x + 14 < -8@@?

• Subtract 14 from both sides: @@11x < -22@@. Then divide by 11: @@x < -2@@.

• Add 14 to both sides: @@11x > 6@@. Then divide by 11: @@x > rac{6}{11}@@.

• Multiply both sides by -1: @@11x + 14 > 8@@. Then divide by 11: @@x > -rac{14}{11}@@.

• Subtract 14 from both sides: @@11x < -22@@. Then multiply by 11: @@x < -2@@.

What is the solution to the equation @@\frac{1}{6}x + 7 = 15@@?

• x = 8

• x = 48

• x = 12

• x = 36

What is the solution to the equation @@2x + 3 = 11@@?

• @@x = 4@@

• @@x = 5@@

• @@x = 3@@

• @@x = 6@@

How do you solve the inequality @@5 + x > 29@@?

• Subtract 5 from both sides: @@x > 24@@.

• Add 5 to both sides: @@x > 34@@.

• Multiply both sides by 5: @@5x > 145@@.

• Divide both sides by 5: @@x > 5.8@@.

What does a closed dot on a graph indicate?

• It indicates that the number is included in the solution set, used with symbols like @@\leq@@ and @@\geq@@.

• It indicates that the number is excluded from the solution set, used with symbols like @@<@@ and @@>@@.

• It indicates that the number is a maximum value in the solution set.

• It indicates that the number is a minimum value in the solution set.

How do you solve the inequality @@3x - 4 > 5@@?

• 1. Add 4 to both sides: @@3x > 9@@. 2. Divide by 3: @@x > 3@@.

• 1. Subtract 4 from both sides: @@3x < 1@@. 2. Divide by 3: @@x < rac{1}{3}@@.

• 1. Add 4 to both sides: @@3x < 9@@. 2. Divide by 3: @@x < 3@@.

• 1. Subtract 5 from both sides: @@3x - 9 > 0@@. 2. Divide by 3: @@x > 3@@.

What does an open dot on a graph indicate?

• It indicates that the number is included in the solution set.

• It indicates that the number is not included in the solution set, used with symbols like @@<@@ and @@>@@.

• It indicates a point of discontinuity in the graph.

• It indicates a maximum or minimum point on the graph.

What is a two-step inequality?

• A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in @@2x + 3 < 7@@, you would first subtract 3 from both sides and then divide by 2.

• A two-step inequality is an inequality that can be solved in one step by adding or subtracting a number.

• A two-step inequality is an equation that requires two operations to solve for the variable.

• A two-step inequality is a type of inequality that only involves addition.

What is the solution to the inequality @@-2x + 5 ≤ 9@@?

• @@x ≥ -2@@

• @@x ≤ -2@@

• @@x > -2@@

• @@x < -2@@

What is the difference between an equation and an inequality?

• An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

• An equation is a mathematical statement that includes variables, while an inequality does not.

• An equation can only contain numbers, while an inequality can contain both numbers and variables.

• An equation is always true, while an inequality can be false.