Solving One Step Inequalities in One Variable

The video tutorial covers solving one-step inequalities in one variable. It begins with defining inequalities and familiarizing viewers with the necessary symbols. The tutorial then explains how to graph inequalities on a number line, using examples to illustrate open and closed circles. It proceeds to demonstrate solving inequalities using algebraic methods, including addition, subtraction, multiplication, and division. The video concludes with solving word problems involving inequalities, providing practical examples to apply the concepts learned.

What symbol represents 'greater than or equal to'?

• >

• <=

• >=

• !=

How do you graph 'x is less than -3' on a number line?

• Closed circle at -3, shade right

• Open circle at -3, shade right

• Open circle at -3, shade left

• Closed circle at -3, shade left

What does an open circle on a graph indicate in terms of inequality?

• Greater than or equal to

• Less than or equal to

• Strictly greater than

• Strictly less than

If a graph shows an open circle at 2 and shades to the left, which inequality does it represent?

• x > 2

• x <= 2

• x >= 2

• x < 2

What is the correct inequality for a graph with a closed circle at 5 shading to the right?

• x > 5

• x < 5

• x <= 5

• x >= 5

To solve 'x - 4 > 1', what is the first step?

• Subtract 1 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by -1

When solving '2x < 10', what is the value of x?

• x < 5

• x >= 5

• x > 5

• x <= 5

If dividing an inequality by a negative number, what must you do?

• Add 1 to both sides

• Subtract 1 from both sides

• Reverse the inequality sign

• Do nothing

Jarrod's suitcase can hold a maximum weight of 50 pounds. If the suitcase itself weighs 5 pounds, what is the maximum weight of items he can pack?

• x + 5 <= 50

• x + 5 > 45

• x + 5 <= 45

• x + 5 < 50

For an employment agency to earn a commission of at least $6000, what must be the minimum salary of the new employee?

• x <= 40000

• x < 6000

• x > 6000

• x >= 40000