Bài 4: Bất Phương Trình Bậc Nhất Một Ẩn
Hướng dẫn giải Bài 19 (Trang 47 SGK Toán Đại số 8, Tập 2)
<p>Giải c&aacute;c bất phương tr&igrave;nh (theo quy tắc chuyển vế):</p> <p>a) x-5 &gt; 3;<span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>b) x-2x &lt; -2x+4</p> <p>c) -3x &gt; -4x +2<span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>d) 8x+2 &lt; 7x-1</p> <p><em><strong>Hướng dẫn:</strong></em></p> <p>a) Chuyển vế:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>5</mn><mo>&#62;</mo><mn>3</mn><mo>&#160;</mo><mo>&#8660;</mo><mi>x</mi><mo>&#62;</mo><mn>5</mn><mo>+</mo><mn>3</mn><mo>=</mo><mn>8</mn></math></p> <p><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>Tập nghiệm&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x</mi><mo>/</mo><mi>x</mi><mo>&#62;</mo><mn>8</mn><mo>}</mo></math></p> <p>b)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>2</mn><mi>x</mi><mo>&#60;</mo><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>4</mn><mo>&#160;</mo><mo>&#8660;</mo><mo>&#160;</mo><mi>x</mi><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>x</mi><mo>&#60;</mo><mn>4</mn><mo>&#160;</mo><mo>&#8660;</mo><mo>&#160;</mo><mi>x</mi><mo>&#60;</mo><mn>4</mn></math></p> <p><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>Tập nghiệm&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x</mi><mo>/</mo><mi>x</mi><mo>&#60;</mo><mn>4</mn><mo>}</mo></math></p> <p>c)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mi>x</mi><mo>&#62;</mo><mo>-</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>2</mn><mo>&#160;</mo><mo>&#8660;</mo><mo>&#160;</mo><mn>4</mn><mi>x</mi><mo>-</mo><mn>3</mn><mi>x</mi><mo>&#62;</mo><mn>2</mn><mo>&#8660;</mo><mi>x</mi><mo>&#62;</mo><mn>2</mn></math></p> <p><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>Tập nghiệm&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x</mi><mo>/</mo><mi>x</mi><mo>&#62;</mo><mn>2</mn><mo>}</mo></math></p> <p>d)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mi>x</mi><mo>+</mo><mn>2</mn><mo>&#60;</mo><mn>7</mn><mi>x</mi><mo>-</mo><mn>1</mn><mo>&#8660;</mo><mn>8</mn><mi>x</mi><mo>+</mo><mn>2</mn><mo>-</mo><mn>7</mn><mi>x</mi><mo>&#60;</mo><mo>-</mo><mn>1</mn><mo>&#8660;</mo><mn>8</mn><mi>x</mi><mo>-</mo><mn>7</mn><mi>x</mi><mo>&#60;</mo><mo>-</mo><mn>1</mn><mo>-</mo><mn>2</mn><mo>&#8660;</mo><mi>x</mi><mo>&#60;</mo><mo>-</mo><mn>3</mn></math></p> <p><span class="mce-nbsp-wrap" contenteditable="false">&nbsp;&nbsp;&nbsp;</span>Tập nghiệm&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>{</mo><mi>x</mi><mo>/</mo><mi>x</mi><mo>&#60;</mo><mo>-</mo><mn>3</mn><mo>}</mo></math></p>
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