Question

Solve x – 7 > –8.

x > 15
x > –15
x > 1
x > –1
2. Write an inequality for the situation: a number exceeds 66.
n > 66
n < 66
n ≥ 66
n ≤ 66
3. A tile installer has selected four different size square tiles to cover a floor. The areas of the tiles are Tile A = 9 in.², Tile B = 25 in.², Tile C = 34 in.², and Tile D = 76 in.². For which tiles are the lengths of the sides rational?
A and B
B and D
C and D

Answer 1

Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length =
`√(Area)`

For Tile A, the length will be:


`Length= √(9)=3`
So length is a Rational number

For Tile B, the length will be:


`Length= √(25)=5`
So length is a Rational number

For Tile C, the length will be:


`Length= √(34)`
So, Length is not Rational.

For Tile D, the length will be:


`Length= √(76)`
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option