Question

Solving Inequalities?

Please help!

3.

Solve.

–6 ≥ 10 – 8x

A.
x ≤ –2

B.
x ≥ –2

C.
x ≤ 2

D.
x ≥ 2

4.

Solve.

5 + d > 5 – d

A.
d > 10

B.
d > 0

C.
d < –5

D.
d > –10

5.

The sum of two consecutive integers is at least 46. What is the least possible pair of integers?

A.
21 and 23

B.
23 and 24

C.
22 and 23

D.
24 and 25

Answer 1

Inequalities are basically solved the same way as normal equations, just the signs switch ways if you either divide or multiply by a negative number, or switch sides.
For the first question;
–6 ≥ 10 – 8x
Rearrange to make x the subject as usual;
-16 ≥ -8x
-16/-8 ≤ x (switched the sign because we divided by a negative)
2 ≤ x
Now switch to make x on the left so the sign swaps again;
x ≥ 2 is the answer (D)