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This means that if a ï¼ b , then a ï« c ï¼ b ï« c (or a ï« c ï¼ b ï« c ); if a ï¾ b , then a ï« c ï¾ b ï« c (or a ï« c ï¾ b ï« c ). Basic Property 2: When both sides of an inequality is multiplied (or divided) by the same positive number, the inequality sign remains unchanged. a b ï¼ ); This means that if a ï¼ b , and c ï¾ 0 , then ac ï¼ bc (or c c a b ï¾ ). if a ï¾ b , and c ï¾ 0 , then ac ï¾ bc (or c c Basic Property 3: When both sides of an inequality is multiplied (or divided) by the same negative number, the inequality sign is reversed. a b ï¾ ); This means that if a ï¼ b , and c < 0, then ac ï¾ bc (or c c a b ï¼ ). if a ï¾ b , and c < 0, then ac ï¼ bc (or c c Line for thought: what will happen if we multiply both sides of the inequality by zero? ãExample 1ã Write down the result of the following inequality after applying the adjustment: (1) 5 ï¼ 9 , adding ï2 to both sides; (2) 9 ï¾ 5 , subtracting 10 from both sides; (3) ï5 ï¼ 3 , multiplying both sides by 4; (4) 14 ï¾ ï8 , dividing both sides by ï2 ; Solution (1) According to Basic Property 1, inequality sign remains unchanged after adding -2 to both sides. So 5 ï« (ï2) ï¼ 9 ï« (ï2) , That is 3 ï¼ 7 ; (2) According to Basic Property 1, we have 9 ï10 ï¾ 5 ï10 , That is ï1 ï¾ ï5 ; - 161 -
