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Sagot :
Explanation
Given the inequality
[tex]-3x+14\ge3-2x[/tex]We can find the solution below;
[tex]\begin{gathered} -3x+14\ge3-2x \\ \text{subtract 14 from both sides} \\ -3x+14-14\ge3-2x-14 \\ -3x\ge-2x-11 \\ \mathrm{Add\: }2x\mathrm{\: to\: both\: sides} \\ -3x+2x\ge-2x+2x-11 \\ -x\ge-11 \\ \mathrm{Multiply\: both\: sides\: by\: -1\: }\mleft(\mathrm{reverse\: the\: inequality}\mright) \\ x\le11 \end{gathered}[/tex]Answer:
[tex]\begin{bmatrix}\mathrm{Solution\colon}\: & \: x\le\: 11\: \\ \: \mathrm{Interval\: Notation\colon} & \: (-\infty\: ,\: 11\rbrack\end{bmatrix}[/tex]
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