Question

100 points !!!!!!! PLZ HELP

Can you use inequalities to figure out this coded word?


For each problem

• Solve and graph the combined inequality.

• State whether the combined inequality is a conjunction or disjunction and explain why.

• Determine which letter is in the solution set to use in the code word.




1. -4 ≤ x + 2 < 1

2. 5x - 4 > 46 or 4x ≤ 3x + 6

3. 10 ≤ 2x - 4 ≤ 20

4. 6 - 2x ≤ 12 or 7 + 2x < -11

5. 5 ≤ 2x + 1 ≤ 11

Answer 1

Assignment: Combined Inequalities Investigation

1)

− 6 ≤ x < − 1

Answer - F

Conjunction

2)

x ≤ 6 or x > 10

Answer - O

Disjunction

3)

7 ≤ x ≤ 12

Answer - R

Conjunction

4)

x < -9 or x ≥ -3

Answer - M

Disjunction

5)

2 ≤ x ≤ 5

Answer - U

Conjunction

6)

x ≤ 54 or x ≥ 66

Answer - L

Disjunction

7)

39 < x ≤ 43

Answer - A

Conjunction

Place the letters in the box from the problems.

The secret word is Formula.

Answer 2

Answer:1. -6 ≤ x < -1 . . . . conjunction

2. x ≤ 6 . . or . . 10 ≤ x . . . . disjunction

3. 7 ≤ x < 12 . . . . conjunction

4. x < -9 . . or . . -3 ≤ x . . . . disjunction

5. 2 ≤ x ≤ 5 . . . . conjunction

6. x ≤ 54 . . or . . 66 ≤ x . . . . disjunction

7. 39 < x ≤ 43 . . . . conjunction

Explanation:

I'm assuming its "Pattern". This is because its in a pattern of "Conjunction, Disjunction, Conjunction, Disjunction, etc." and theres 7 letters in the word Pattern.

Usually a problem with this wording will have a list of numbers with letter designators. You find the number that is in the solution set and the corresponding letter is part of the "secret word