Question

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

Express the statement as an inequality

g. The quotient of p and q is at most 6
1. p/q ≤ 6
2. p/q < 6
3. p/q = 6
4. p/q > 6
5. p/q ≥ 6

h. The reciprocal of w is at least 8
1. 1/w > 8
2. 1/w ≥ 8
3. 1/w = 8
4. 1/w < 8
5. 1/w ≤ 8

i. The absolute value of x is greater than 6
1. |x| = 6
2. |x| ≤ 6
3. |x| ≥ 6
4. |x| > 6
5. |x| < 6

Answer 1

g. 1. p/q ≤ 6

h. 2. 1/w ≥ 8

i.4. |x| > 6

Explanation:

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

g. The statement "The quotient of p and q is at most 6" means that p divided by q is less than or equal to 6. Mathematically, we can represent this as p/q ≤ 6.

h. The statement "The reciprocal of w is at least 8" means that the value of 1/w is greater than or equal to 8. Mathematically, we can represent this as 1/w ≥ 8.

i. The statement "The absolute value of x is greater than 6" means that the distance of x from 0 is greater than 6. This means that x is either greater than 6 or less than -6. Mathematically, we can represent this as |x| > 6.

Answer 2

• g) 1;
• h) 2;
• i) 4.

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g.

The quotient of p and q is p/q, at most means less or equal:

• p/q ≤ 6

h.

The reciprocal of w is 1/w, at least means equal or greater:

• 1/w ≥ 8

i.

The absolute value of x is |x|:

• |x| > 6