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> greater than < less than ≥ greater than or equal to ≤ less than or equal to okay so now you know the signs let's say we have an inequality x>4 this means x is greater than 4 by this we mean, all values of x must be above 4 so x can be 4.1, 4.2, 4.3, 4.4, 5, 6, 7, 8, all the way to infinite x<4 this means x is less than 4 all x values must be below 4 3, 2, 1,0,-1,-2,-3 all the way to negative infinite x≤4 this means x is less than or equal to 4 so your x values are equal to 4 or below your x values can be 4,3,2,1,0,-1 all the way to negative infinite x≥4 this means x is greater than or equal to 4 x values can be 4,5,6,7,8,9, all the way to infinte so let's say we have x+4>7 to solve this we want x to be the subject, so we want x on its own to do this we move all constants to the opposite side so we have x+4>7 we have a positive 4, so we need to add a negative 4 onto both sides x+4-4>7-4 x+0>3 x>3 your solutions would be any value greater than 3 if you have 3x+5>8 you want to make x the subject, so move all constants to the other side 3x+5>8 we want to do the opposite to +5 so -5 3x+5-5>8-5 3x+0>3 3x>3 now we have 3 lots of x, we want x on its own... since we have 3x this is 3 multiplied by x so we do the opposite which is divide, so we divide by 3 3x/3 >3/3 x>1 our solutions are all x values greater than 1 i will go through simultaneous equations later, gotta go