Question

Solve for p.
–3≤–69–p

Answer 1

Solve for t.
t–1+13≤15

Answer 2

that was wrong.

Answer 3

Solve for w.
2w+6≤9.78

Answer 4

Solve for k.
7–2k≥1

Answer 5

Solve for k.
–
2k–1≤3

Answer 6

To solve the inequality \(-3 \leq -69 - p\), we can follow these steps:

1. Start by isolating the term with \(p\). Add 69 to both sides:

\[
-3 + 69 \leq -p
\]

This simplifies to:

\[
66 \leq -p
\]

2. To isolate \(p\), multiply both sides of the inequality by -1. Remember that when you multiply or divide by a negative number, you must reverse the inequality sign:

\[
-66 \geq p
\]

or equivalently:

\[
p \leq -66
\]

Thus, the solution is:

\[
p \leq -66
\]

Answer 7

To solve the inequality \( t - 1 + 13 \leq 15 \), follow these steps:

1. Combine like terms on the left side:

\[
t + 12 \leq 15
\]

2. Next, isolate \( t \) by subtracting 12 from both sides:

\[
t \leq 15 - 12
\]

This simplifies to:

\[
t \leq 3
\]

Thus, the solution is:

\[
t \leq 3
\]

Answer 8

Let’s re-evaluate the inequality \( t - 1 + 13 \leq 15 \).

1. Combine the constants on the left side:
\[
t + 12 \leq 15
\]

2. Now, isolate \( t \) by subtracting 12 from both sides:
\[
t \leq 15 - 12
\]

This simplifies to:
\[
t \leq 3
\]

The solution remains \( t \leq 3 \). If there's a specific aspect you'd like me to address further or if you have a different interpretation of the problem, please let me know!

Answer 9

To solve the inequality \(2w + 6 \leq 9.78\), follow these steps:

1. Subtract 6 from both sides of the inequality:

\[
2w \leq 9.78 - 6
\]

This simplifies to:

\[
2w \leq 3.78
\]

2. Now, divide both sides by 2 to isolate \(w\):

\[
w \leq \frac{3.78}{2}
\]

Simplifying that gives:

\[
w \leq 1.89
\]

Thus, the solution is:

\[
w \leq 1.89
\]

Answer 10

To solve the inequality \( 7 - 2k \geq 1 \), follow these steps:

1. Start by isolating the term with \( k \). Subtract 7 from both sides of the inequality:

\[
-2k \geq 1 - 7
\]

This simplifies to:

\[
-2k \geq -6
\]

2. Next, divide both sides by -2. Remember that when you divide or multiply by a negative number, you must flip the inequality sign:

\[
k \leq \frac{-6}{-2}
\]

This simplifies to:

\[
k \leq 3
\]

Thus, the solution is:

\[
k \leq 3
\]

Answer 11

To solve the inequality \(-2k - 1 \leq 3\), follow these steps:

1. Start by isolating the term with \(k\). Add 1 to both sides of the inequality:

\[
-2k \leq 3 + 1
\]

This simplifies to:

\[
-2k \leq 4
\]

2. Next, divide both sides by -2. Remember that when you divide by a negative number, you must flip the inequality sign:

\[
k \geq \frac{4}{-2}
\]

This simplifies to:

\[
k \geq -2
\]

Thus, the solution is:

\[
k \geq -2
\]