Inequalities and Their Solutions

Mrs. C introduces solving and graphing inequalities, explaining the difference between equations and inequalities. She demonstrates solving various inequalities, including those with greater than, less than, and equal to symbols. Each example is solved step-by-step, with a focus on graphing the solutions on a number line. The video concludes with a preview of the next lesson on solving inequalities using multiplication and division.

What symbol is used in inequalities to show that one value is greater than another?

• <

• =

• ≥

• >

In the inequality x - 3 > -7, what is the solution for x?

• x > -4

• x < -4

• x ≤ -4

• x ≥ -4

How is a 'greater than or equal to' inequality represented on a number line?

• Closed circle with arrow to the left

• Closed circle with arrow to the right

• Open circle with arrow to the right

• Open circle with arrow to the left

What is the solution for w in the inequality w + 6 ≥ 18?

• w ≥ 12

• w < 12

• w > 12

• w ≤ 12

In the inequality H + 4 < -5.5, what is the solution for H?

• H ≥ 9.5

• H > 9.5

• H < 9.5

• H ≤ 9.5

How is a 'less than' inequality represented on a number line?

• Open circle with arrow to the right

• Closed circle with arrow to the right

• Closed circle with arrow to the left

• Open circle with arrow to the left

What is the solution for r in the inequality r + 4 ≤ 14?

• r ≤ 10

• r < 10

• r ≥ 10

• r > 10

In the inequality T - 1/4 ≥ 2, what is the solution for T?

• T < 1.75

• T > 1.75

• T ≥ 1.75

• T ≤ 1.75

What common mistake do students make when the variable is on the right side of the inequality?

• Drawing the arrow in the wrong direction

• Using an open circle instead of a closed one

• Not isolating the variable

• Forgetting to reverse the inequality sign

How should the inequality -3/7 < B be graphed?

• Open circle at -3/7 with arrow to the left

• Open circle at -3/7 with arrow to the right

• Closed circle at -3/7 with arrow to the right

• Closed circle at -3/7 with arrow to the left