Solve the inequality.
8. c + 6 < –20 (1 point)
c < –26
c < –14
c < 26
c < 14
9. ≥ –3 (1 point)
d ≥ –16
d ≥ 39
d ≥ 10
d ≥ –39
10. –3p > –48 (1 point)
p < 16
p > –51
p < –16
p > 16
What are you choices?
#9 makes no sense
i don't get it
i think it
b
c
a
8.
c+6 < -20
subtract 6 from both sides:
c < -26
9 still is bogus: ≥ –3 is not complete
10. a is correct
To solve an inequality, follow these steps:
1. Step 1: Isolate the variable on one side of the inequality.
2. Step 2: Perform the necessary operations to solve for the variable.
3. Step 3: Determine the direction of the inequality and solve for the variable.
For question 8: c + 6 < –20
Step 1: Isolate the variable c on one side of the inequality by subtracting 6 from both sides:
c + 6 - 6 < –20 - 6
c < –26
Therefore, the correct answer is c < –26.
For question 9: d ≥ –3
Step 1: The variable d is already isolated, so we can move to Step 2.
Step 2: No further operations are required to solve for d, as it is already in its simplest form.
Step 3: The inequality is a "greater than or equal to" inequality (≥), which means the answer includes the given value.
Therefore, the correct answer is d ≥ –3.
For question 10: –3p > –48
Step 1: Isolate the variable p on one side of the inequality by dividing both sides by -3. Note that when you divide or multiply an inequality by a negative number, the inequality sign flips:
(-3p) / -3 > (-48) / -3
p < 16
Therefore, the correct answer is p < 16.
8. c + 6 < –20 (1 point)
a.c < –26
b.c < –14
c.c < 26
d.c < 14
9. ≥ –3 (1 point)
a.d ≥ –16
b.d ≥ 39
c.d ≥ 10
d.d ≥ –39
10. –3p > –48 (1 point)
a.p < 16
b.p > –51
c.p < –16
d.p > 16