−2(−10x+5)≤3

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the inequality \( -2(-10x + 5) \leq 3 \), we will first simplify the left side.

Start by distributing the \(-2\):

\[ -2(-10x) + (-2)(5) \leq 3 \]

This simplifies to:

\[ 20x - 10 \leq 3 \]

Next, add \(10\) to both sides of the inequality:

\[ 20x - 10 + 10 \leq 3 + 10 \]

This gives:

\[ 20x \leq 13 \]

Now, divide both sides by \(20\):

\[ x \leq \frac{13}{20} \]

Thus, the solution to the inequality is:

\[ x \leq \frac{13}{20} \]