13-4(2-х)>=6х-2

To solve the inequality \( 13 - 4(2 - x) \geq 6x - 2 \), we will follow several steps: 1. **Distribute the -4**: \[ 13 - 8 + 4x \geq 6x - 2 \] This simplifies to: \[ 5 + 4x \geq 6x - 2 \] 2. **Rearrange the terms**: Subtract \( 4x \) from both sides: \[ 5 \geq 6x - 4x - 2 \] This simplifies to: \[ 5 \geq 2x - 2 \] 3. **Add 2 to both sides**: \[ 5 + 2 \geq 2x \] Which simplifies to: \[ 7 \geq 2x \] 4. **Divide both sides by 2**: \[ \frac{7}{2} \geq x \] Or: \[ x \leq \frac{7}{2} \] Thus, the solution to the inequality is: \[ x \leq 3.5 \] In interval notation, this can be expressed as: \[ (-\infty, \frac{7}{2}] \]