Solve the following inequalities for x Include written check -2x<6
Explanation / Answer
-2x < 6 Original -2x - 6 < 0 Subtract 6 from both sides -6 < 2x Add 2x to both sides 2x > -6 Flip the inequality (it's the same statement) x > -3 Divide both sides by 2. Solution {x|x > -3} Check the solution by picking a number greater than -3 and see if it satisfies the original question. Let x = 0 -2(0) = 0 < 6 This seems correct. Let's pick a number less than -3 to see if it DOESN'T satisfy the original statement. Let x = -4 -2(-4) = 8 < 6 This is an incorrect statement. Make sure -3 is not included in the solution Let x = -3 2(-3) = -6 -6 is not less than -6, so this is incorrect. It appears that our solution is justified: {x|x > -3}