c:[["$","title","0",{"children":"CUET Mathematics 2024 - The solution set of the inequality |3 x| ≥|6-3 x| is : | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Case 1: x \\>=q 2 |6-3x| = 3x-6 The inequality becomes: |3x| \\>=q 3x-6 Since x \\>=q 2, we have |3x| = 3x So: 3x \\>=q 3x-6, which is always true when x \\>=q 2

Case 2: 0 \\<=q x < 2 3x \\>=q 0 and 6-3x > 0 The inequality becomes: 3x \\>=q 6-3x Solving: 6x \\>=q 6, so x \\>=q 1 This gives us: 1 \\<=q x < 2

Case 3: x < 0 3x < 0 and 6-3x > 0 The inequality becomes: -3x \\>=q 6-3x Simplifying: 0 \\>=q 6 (false) No solutions here. Combining all cases, the solution set is: x \\>=q 1"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"CUETMAT,MAT,Algebra,Inequalities"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"CUET Mathematics 2024 - The solution set of the inequality |3 x| ≥|6-3 x| is : | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Case 1: x \\>=q 2 |6-3x| = 3x-6 The inequality becomes: |3x| \\>=q 3x-6 Since x \\>=q 2, we have |3x| = 3x So: 3x \\>=q 3x-6, which is always true when x \\>=q 2

Case 2: 0 \\<=q x < 2 3x \\>=q 0 and 6-3x > 0 The inequality becomes: 3x \\>=q 6-3x Solving: 6x \\>=q 6, so x \\>=q 1 This gives us: 1 \\<=q x < 2

Case 3: x < 0 3x < 0 and 6-3x > 0 The inequality becomes: -3x \\>=q 6-3x Simplifying: 0 \\>=q 6 (false) No solutions here. Combining all cases, the solution set is: x \\>=q 1"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/cuet-past-year-questions/cuet-mat-2024-01/65"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | CUET Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"CUET Mathematics 2024 - The solution set of the inequality |3 x| ≥|6-3 x| is : | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Case 1: x \\>=q 2 |6-3x| = 3x-6 The inequality becomes: |3x| \\>=q 3x-6 Since x \\>=q 2, we have |3x| = 3x So: 3x \\>=q 3x-6, which is always true when x \\>=q 2

Case 2: 0 \\<=q x < 2 3x \\>=q 0 and 6-3x > 0 The inequality becomes: 3x \\>=q 6-3x Solving: 6x \\>=q 6, so x \\>=q 1 This gives us: 1 \\<=q x < 2

Case 3: x < 0 3x < 0 and 6-3x > 0 The inequality becomes: -3x \\>=q 6-3x Simplifying: 0 \\>=q 6 (false) No solutions here. Combining all cases, the solution set is: x \\>=q 1"}],["$","meta","17",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","20",{"rel":"icon","href":"https://www.afterboards.in/icons/windows11/Square44x44Logo.altform-lightunplated_targetsize-256.png","sizes":"256x256","type":"image/png"}],["$","link","21",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-512-512.png","sizes":"512x512","type":"image/png"}],["$","link","22",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-192-192.png","sizes":"192x192","type":"image/png"}],["$","link","23",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-144-144.png","sizes":"144x144","type":"image/png"}],["$","link","24",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-96-96.png","sizes":"96x96","type":"image/png"}],["$","link","25",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-72-72.png","sizes":"72x72","type":"image/png"}]]

CUET Mathematics 2024 PYQs

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