-Solve the inequality.-
**C + 6 < –20**
(A.) c < –26
(B.) c < –14
(C.) c < 26
(D.) c < 14
**D/13≥ –3**
(A.) d ≥ –16
(B.) d ≥ 39
(C.) d ≥ 10
(D.) d ≥ –39
**–3p > –48**
(A.) p < 16
(B.) p > –51
(C.) p < –16
(D.) p > 16
1. a
2. d
3. d
1.-3
2.28
3.-9
4.3
5.3
6.-76-7c
7.4x-3
8.c<-26
9.p_>-40
10.x<8
11.5x+6_<11
12.8p+5>21
13.2f+3=19;$8.00
14.74+3w+66;34lb
15.42.50
16.x+61>70;>9
17.9+p_<27;p_<18
18.10h_>55;5_>5.5;5.5 hours
these might not be the same for you. :)
the last one is d I thought
For the inequality C + 6 < –20, let's solve it step by step:
C + 6 < –20
Subtract 6 from both sides:
C < –26
So, the answer is (A) c < –26.
Now, let's move on to the next inequality:
D/13 ≥ –3
Multiply both sides by 13 to get rid of the fraction:
D ≥ –39
Therefore, the answer is (D) d ≥ –39.
Finally, let's solve the last inequality:
–3p > –48
Divide both sides by -3, but remember to reverse the inequality sign when dividing by a negative number:
p < 16
Hence, the answer is (A) p < 16.
To solve the inequalities, we need to isolate the variable on one side of the inequality sign. Here's how to solve each one:
1. C + 6 < –20:
- First, subtract 6 from both sides to move the constant term to the other side: C < –26.
- So, the answer is (A) c < –26.
2. D/13 ≥ –3:
- Multiply both sides by 13 to eliminate the fraction: D ≥ –39.
- Therefore, the answer is (D) d ≥ –39.
3. –3p > –48:
- Divide both sides by -3. Remember, when dividing or multiplying an inequality by a negative number, the inequality sign flips: p < 16.
- Therefore, the answer is (A) p < 16.
So, the answers are:
(A) c < –26
(D) d ≥ –39
(A) p < 16
Someone will be glad to check your answers.
The first two are right. The last one is wrong.
http://www.mathsisfun.com/algebra/inequality-solving.html