1.If a number a is always less than another number b, which of the following expressions expresses their relationship?

A.a≤b

B.a≥b

C.a>b

D.a<b

2.Which expression represents the following statement: x is no less than 0.

A.x≤0

B.x≥0

C.x>0

D.x<0

question number 3.3x>9
Which of the following sentences is the word equivalent of the expression above?

A.The product between 3 and a number is no less than 9.

B.The product between 3 and a number is greater than 9.

C.The product between 3 and a number is no more than 9.

D.The product between 3 and a number is less than 9.

4.Which of the following sentences can be expressed by the inequality 16−5x≥1?

A.The difference of 16 and the product of 5 and a number is no less than 1.

B.16 less than the product of 5 and a number is no less than 1.

C.The difference of 16 and the product of 5 and a number is greater than 1.

D.16 less than the product of 5 and a number is greater than 1.

5.The product between 6 and 4 less than x is no more than 20.

Which expression among the following is equivalent to the sentence above?

A.6(4−x)≤20

B.6(x−4)≤20

C.6×4−x≤20

D.x−6×4≤20

1. The correct choice is D. a<b.

2. The correct choice is B. x≥0.
3. The correct choice is B. The product between 3 and a number is greater than 9.
4. The correct choice is A. The difference of 16 and the product of 5 and a number is no less than 1.
5. The correct choice is B. 6(x−4)≤20.

1. To determine the expression that expresses the relationship between two numbers, we need to consider the comparison operators. The statement says that "a is always less than b." In mathematical terms, this can be represented as a < b. Therefore, the correct expression is D. a < b.

2. The given statement says that "x is no less than 0." This means that x is greater than or equal to 0. In mathematical terms, this can be represented as x ≥ 0. Therefore, the correct expression is B. x ≥ 0.

3. The given expression is 3x > 9. To interpret this, we need to consider that > represents "greater than." Dividing both sides of the inequality by 3, we have x > 3. Now, we need to find the equivalent sentence. The product refers to multiplication. Therefore, the correct sentence is B. The product between 3 and a number is greater than 9.

4. The given inequality is 16 - 5x ≥ 1. To understand this expression, we begin by subtracting 16 from both sides to isolate the term with x. This gives us -5x ≥ -15. Dividing both sides by -5, we get x ≤ 3. Now, we need to find the equivalent sentence. The difference refers to subtraction, and "less than" indicates ≤. Therefore, the correct sentence is A. The difference of 16 and the product of 5 and a number is no less than 1.

5. The given sentence is "The product between 6 and 4 less than x is no more than 20." To translate this into an expression, we start by subtracting 4 from x, resulting in x - 4. Then, we multiply it by 6 to get 6(x - 4). Finally, we need to represent "no more than" as ≤. Therefore, the correct expression is A. 6(4 - x) ≤ 20.

#1. well, which symbol means "less than" ?

#2. if not less, than greater or equal, so ...
#3. > means greater, right?
#4. see #2
#5. as #4, but the other direction.

Looks like you need to review inequalities