Solve for p. –3≤–69–p

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: \[ p \leq -66 \]

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: \[ t \leq 3 \]

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!

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: \[ w \leq 1.89 \]

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: \[ k \leq 3 \]

Solve for p. –3≤–69

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

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

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

This simplifies to:

\[ 66 \leq -p \]
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:

\[ p \leq -66 \]

Solve for t.
t–1+13≤15

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

Combine like terms on the left side:

\[ t + 12 \leq 15 \]
Next, isolate \( t \) by subtracting 12 from both sides:

\[ t \leq 15 - 12 \]

This simplifies to:

\[ t \leq 3 \]

Thus, the solution is:

\[ t \leq 3 \]

that was wrong.

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

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

Solve for w.
2w+6≤9.78

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

Subtract 6 from both sides of the inequality:

\[ 2w \leq 9.78 - 6 \]

This simplifies to:

\[ 2w \leq 3.78 \]
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:

\[ w \leq 1.89 \]

Solve for k.
7–2k≥1

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

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

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

This simplifies to:

\[ -2k \geq -6 \]
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:

\[ k \leq 3 \]

Solve for k.
–
2k–1≤3

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

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

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

This simplifies to:

\[ -2k \leq 4 \]
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:

\[ k \geq -2 \]