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Choose the correct solution set of the inequality \(2(3x+1) \ge 4x+10\).असमानता \(2(3x+1) \ge 4x+10\) का सही हल-समुच्चय चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x \ge 4\)\(x \ge 4\)
Solve \(2(3x+1) \ge 4x+10\).
Expand: \(2(3x+1)=6x+2\).
So \(6x+2 \ge 4x+10\).
Subtract \(4x\): \(2x+2 \ge 10\).
Subtract \(2\): \(2x \ge 8\).
Divide by \(2\): \(x \ge 4\).
Hence the solution set is \(x \ge 4\).असमानता \(2(3x+1) \ge 4x+10\) को हल कीजिए।
विस्तार कीजिए: \(2(3x+1)=6x+2\)।
अतः \(6x+2 \ge 4x+10\)।
\(4x\) घटाइए: \(2x+2 \ge 10\)।
\(2\) घटाइए: \(2x \ge 8\)।
\(2\) से भाग दीजिए: \(x \ge 4\)।
इसलिए हल-समुच्चय \(x \ge 4\) है।
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