Question

1. Which conjunction or disjunction is equivalent to the open sentence |a – 8| ≤ 3?
A.
a – 8 ≤ 3 and a – 8 ≥ –3

B.
a – 8 ≥ 3 and a – 8 ≤ –3

C.
a – 8 ≤ 3 or a – 8 ≥ –3

D.
a – 8 ≥ 3 or a – 8 ≤ –3

2. Which conjunction or disjunction is equivalent to the open sentence 4 – 2|n + 6| ≥ 2?
A.
n + 6 ≤ –1 and n + 6 ≥ 1

B.
–5 < n or n < –7

C.
n + 6 ≤ 1 and n + 6 ≥ –1

D.
n > –5 or n < –7

3. Solve the equation. |k + 6| = 3
A.
{–3, 9}

B.
{–3, 3}

C.
{–9, –3}

D.
{all real numbers greater than or equal to –9 and less than or equal to –3}

Answer 1

A
D
B

Answer 2

There is one more:
4. Solve the inequality. 2 + |t + 6| < 12

Answer 3

t<2

Answer 4

Thanks so much!

Answer 5

Whoops, that's not in my selections