Question

NO LINKS!!! URGENT HELP PLEASE!!!!

d. d is between 3 and 1.
1. d < 1 < 3
2. 1 < 3 < d
3. 1 < d < 3
4. 1 ≤ d ≤ 3
5. 3 ≥ d ≥ 1

e. t is no less than 6
1. t > 6
2. t < 6
3. t = 6
4. t ≤ 6
5. t ≥ 6

f. The negative of z is not greater than 7
1. z ≤ -7
2. -z ≤ 7
3. z < 7
4. -z < 7
5. z ≤ 7

Answer 1

d) 3. 1 < d < 3

e) 5. t ≥ 6

f) 2. -z ≤ 7

Explanation:

Inequality symbol notation

• < means "less than".
• > means "greater than".
• ≤ means "less than or equal to".
• ≥ means "greater than or equal to".
• ≠ means "not equal to".

Part d

If d is between 3 and 1 then d is greater than 1 and less than 3.

Therefore, the expression of this statement is:

• 1 < d < 3

Part e

If t is no less than 6, then t is greater than or equal to 6.

The expression of this statement as an inequality is:

• t ≥ 6

Part f

If the negative of z is not greater than 7, then the negative of z must be less than or equal to 7.

The expression of this statement as an inequality is:

• -z ≤ 7

Answer 2

d.

3. 1 < d < 3

e.

1. t > 6

f.

2. -z ≤ 7

Explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

d. The statement "d is between 3 and 1" means that d is greater than 1 and less than 3. Mathematically, we can represent this as 1 < d < 3.

e. The statement "t is no less than 6" means that t is greater than or equal to 6. Mathematically, we can represent this as t > 6.

f. The statement "The negative of z is not greater than 7" means that the value of -z is less than or equal to 7. Mathematically, we can represent this as -z ≤ 7.