Understanding Inequalities and Their Symbols

This video tutorial covers Grade 7 math focusing on one-step inequalities. It begins with an introduction to inequalities and their symbols, followed by an explanation of phrases used in inequalities. The video then presents two word problems: one about qualifying for free shipping and another about the combined weight of kittens. Each problem is solved step-by-step, including how to graph the solutions on a number line. The tutorial concludes with a brief introduction to two-step inequalities, setting the stage for the next lesson.

What symbol is used in inequalities to represent 'greater than'?

• <

• >

• =

• ≠

Which of the following is NOT a symbol used in inequalities?

• ≤

• ≥

• ≈

• ≠

In an inequality, what can the variable represent?

• Only positive numbers

• A single number

• Only negative numbers

• Any number that makes the sentence true

What does the phrase 'x is no more than 53' mean in terms of inequality?

• x ≥ 53

• x > 53

• x < 53

• x ≤ 53

If x is equal to 50 or more, which inequality represents this?

• x < 50

• x > 50

• x ≥ 50

• x ≤ 50

Emma needs to spend how much more to qualify for free shipping if she has $30.25 in her cart?

• $20.00

• $21.00

• $18.75

• $19.75

What does a filled-in circle on a number line indicate?

• The number is not included

• The number is positive

• The number is included

• The number is negative

In graphing inequalities, what does an open circle signify?

• The number is included

• The number is not included

• The number is positive

• The number is zero

If each kitten weighs less than 3.5 ounces, what is the maximum combined weight of 7 kittens?

• 26 ounces

• 23.5 ounces

• 25 ounces

• 24.5 ounces

What inequality represents the combined weight of 7 kittens each weighing less than 3.5 ounces?

• W > 24.5

• W < 24.5

• W ≤ 24.5

• W ≥ 24.5