Question

1. m – 7 < 6 A) m < –1 B) m > 1 C) m < 13 <---------------------- D) m < –13 2. x + 4.5 ≥ 5.5 A) x ≥ 10 B) x ≥ 1 <---------------------- C) x ≥ 0.1 D) x ≤ 1 3. p + 12 > 9 A) p > 21 B) p > 3 <---------------------- C) p > –21 D) p > –3 4. Translate the following statement into an inequality: Five less than a number is at least nine.
A) x – 5 ≥ 9 B) x – 9 > 5 <---------------------- C) x – 5 > 9 D) x – 5 ≤ 9

Answer 1

1) m - 7 < 6
 Add 7 to the both sides, 
m - 7 + 7 < 6 + 7
m < 13

So, Option C is your answer for this part.

2) x+4.5 ≥ 5.5
Subtract 4.5 from both sides, 
 x ≥ 1

So, Option B is your answer for this part.

3) p +12 > 9
Subtract 12 from the both sides, 
p > -3

So, Option D is your answer for this part.

4) x - 5 ≥ 9
So, Option A is your answer for this part

Hope this helps!