Question

Solve for m.
2m+1<5

Answer 1

Solve for s.
5+2s>9

Answer 2

Solve for r.
r/2–11<–12

Answer 3

Solve for c.
–20+7c<–6

Answer 4

Solve for v.
8+6v≥20

Answer 5

Solve for h.
25≤5h–10

Answer 6

To solve the inequality \(2m + 1 < 5\), follow these steps:

1. Subtract 1 from both sides:
\[
2m < 5 - 1
\]
\[
2m < 4
\]

2. Divide both sides by 2:
\[
m < \frac{4}{2}
\]
\[
m < 2
\]

So the solution is:
\[
m < 2
\]

Answer 7

To solve the inequality \(5 + 2s > 9\), follow these steps:

1. Subtract 5 from both sides:
\[
2s > 9 - 5
\]
\[
2s > 4
\]

2. Divide both sides by 2:
\[
s > \frac{4}{2}
\]
\[
s > 2
\]

So the solution is:
\[
s > 2
\]

Answer 8

To solve the inequality

\[
\frac{r}{2} - 11 < -12,
\]

follow these steps:

1. Add 11 to both sides:
\[
\frac{r}{2} < -12 + 11
\]
\[
\frac{r}{2} < -1.
\]

2. Multiply both sides by 2:
\[
r < -2.
\]

So the solution is:
\[
r < -2.
\]

Answer 9

To solve the inequality

\[
-20 + 7c < -6,
\]

follow these steps:

1. Add 20 to both sides:
\[
7c < -6 + 20
\]
\[
7c < 14.
\]

2. Divide both sides by 7:
\[
c < \frac{14}{7}
\]
\[
c < 2.
\]

So the solution is:
\[
c < 2.
\]

Answer 10

To solve the inequality

\[
8 + 6v \geq 20,
\]

follow these steps:

1. Subtract 8 from both sides:
\[
6v \geq 20 - 8
\]
\[
6v \geq 12.
\]

2. Divide both sides by 6:
\[
v \geq \frac{12}{6}
\]
\[
v \geq 2.
\]

So the solution is:
\[
v \geq 2.
\]

Answer 11

To solve the inequality

\[
25 \leq 5h - 10,
\]

follow these steps:

1. Add 10 to both sides:
\[
25 + 10 \leq 5h
\]
\[
35 \leq 5h.
\]

2. Divide both sides by 5:
\[
\frac{35}{5} \leq h
\]
\[
7 \leq h.
\]

This can also be written as:
\[
h \geq 7.
\]

So the solution is:
\[
h \geq 7.
\]