1. x + 8 < –28
a. x < –36
b. x < –20 <------------------------
c. x < 20
d. x < 36
2. r/15 ≥ –3
a. r ≥ –45
b. ≥ –15
c. r ≥ 12
d. r ≥ 45 <-------------------------
3. –5p > –30
a. p > 6 <------------------------
b. p < 6
c. p > –35
d. p < 35
1)a
-28-8=-36
2)a
15*-3=-45
3)a
1 x < -36
2 r ≥ –45
3 correct
silver back got 1 and 2
however 3 when you multiply by negative, you reverse the arrow
3.
-5 p > - 30
5 p < 30
p < 6
which is b
oh. I forgot about that. Disregard my answer. Look at Damon's answer.
LOL
check your physics question
To solve each inequality, we will apply algebraic principles to isolate the variable (x or p) on one side of the inequality sign.
1. x + 8 < –28
To isolate x, we subtract 8 from both sides:
x < –28 - 8
x < –36
Therefore, the correct answer is (a) x < –36.
2. r/15 ≥ –3
To isolate r, we multiply both sides by 15 (since dividing by a negative number would flip the inequality sign):
r ≥ –3 * 15
r ≥ –45
Therefore, the correct answer is (a) r ≥ –45.
3. –5p > –30
To isolate p, we need to divide both sides by -5. However, we also need to flip the inequality sign since we are dividing by a negative number:
p < -30 / -5
p < 6
Therefore, the correct answer is (b) p < 6.