Understanding Inequalities in Algebra

The video tutorial explains how to translate algebraic inequalities into words. It begins by reviewing the four inequality symbols: less than, less than or equal to, greater than, and greater than or equal to. The tutorial emphasizes reading inequalities from left to right and provides examples to illustrate this process. Example A translates '5 is less than 7', Example B explores different ways to express '12 minus 2 is greater than 6', and Example C demonstrates how to express 'x plus 5 is less than or equal to 4'. The video concludes with a brief summary.

Which of the following is NOT an inequality symbol?

• Less than or equal to

• Greater than

• Equal to

• Less than

How can inequalities be read?

• Only from left to right

• Only from right to left

• Both from left to right and right to left

• Neither direction

What is the correct verbal expression for the inequality 5 < 7?

• Five is greater than seven

• Seven is less than five

• Seven is greater than five

• Five is less than seven

Which of the following is a correct way to express 12 - 2 > 6?

• The sum of 12 and 2 is greater than 6

• 2 more than 12 is greater than 6

• 12 plus 2 is greater than 6

• 12 decreased by 2 is greater than 6

What is another way to express the inequality 12 - 2 > 6?

• 2 less than 12 is greater than 6

• 12 times 2 is greater than 6

• 12 divided by 2 is greater than 6

• 2 added to 12 is greater than 6

How can the inequality x + 5 ≤ 4 be expressed in words?

• x decreased by 5 is less than or equal to 4

• x times 5 is less than or equal to 4

• 5 more than x is less than or equal to 4

• x divided by 5 is less than or equal to 4

Which of the following is NOT a correct expression for x + 5 ≤ 4?

• 5 more than x is less than or equal to 4

• x increased by 5 is less than or equal to 4

• x minus 5 is less than or equal to 4

• x plus 5 is less than or equal to 4

What is the sum of x and 5 in the inequality x + 5 ≤ 4?

• Less than or equal to 4

• Greater than 4

• Equal to 4

• Less than 4