Questions: Solve for (r). [ 2 r+4 leq 10 ]

Transcript text: Solve for $r$. \[ 2 r+4 \leq 10 \]

Solution

Solution Steps

To solve the inequality $2r + 4 \leq 10$, we need to isolate the variable $r$. This involves two main steps: first, subtract 4 from both sides of the inequality, and then divide both sides by 2 to solve for $r$.

Step 1: Rewrite the Inequality

We start with the inequality: \[ 2r + 4 \leq 10 \]

Step 2: Isolate the Variable

Subtract 4 from both sides: \[ 2r \leq 10 - 4 \] This simplifies to: \[ 2r \leq 6 \]

Step 3: Solve for $r$

Now, divide both sides by 2: \[ r \leq \frac{6}{2} \] This gives us: \[ r \leq 3 \]

Final Answer

The solution to the inequality is: \[ \boxed{(-\infty < r \leq 3)} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >