Revised: URGENT: What is the answer to this problem? 4(3x-2) – 3x < 3(1+3x) - 7?
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4(3x – 2) – 3x < 3(1 + 3x) - 7 12x - 8 -3x < 3 + 9x - 7 9x - 8 < 9x - 4 therefore 0 < 4 No, absolute values are not the answer. As you know, zero is less than 4 so that is your answer.
4(3x – 2) – 3x < 3(1 + 3x) - 7 12x - 8 -3x < 3 + 9x - 7 9x - 8 < 9x - 4 0<4 Now, what we need to do is little rational thinking. We all know 0<4 is true add 9x on both side (MATHS RULE:: you are allowed to add/substract same amount on both sides of a inequality) 9x<4+9x is true which is same as 9x-8<9x+3-7 is true which is same as 12x - 8 -3x < 3 + 9x - 7 is true 4(3x - 2) - 3x < 3(1 + 3x) - 7 is true Whenever a mathematical expression in x (ie with a variable) comes out to be TRUE its called a IDENTITY. Hence the inequality is a IDENTITY. Examples: ~ 7x+6>6x+5+x
~ (a+b)^2=a^2 +b^2 +2ab
~ (a+b)(a-b)=a^2-b^2
4(3x-2) – 3x < 3(1+3x) - 7 12x-8-3x < 3+9x-7 9x-8 < -4+9x -8+4 < -9x+9x 4 < 0 yeah dude ur wrong...!!! how is it possible... tc