Solve for m.

Question

2m+1<5

Answer 1

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 2

Solve for s.
5+2s>9

Answer 3

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 4

Solve for r.
r/2–11<–12

Answer 5

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 6

Solve for c.
–20+7c<–6

Answer 7

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 8

Solve for v.
8+6v≥20

Answer 9

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 10

Solve for h.
25≤5h–10

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: \[ h \geq 7. \]