Solve each equation in Exercises 96–102 by the method of your cho...

Question

Solve each equation in Exercises 96–102 by the method of your choice. -4|x+1| + 12 = 0

Accepted Answer

Welcome back. I'm so glad you're here. We've been given an equation, we've got five times the absolute value of x minus five plus 15 equals zero. We want to solve for X. So let's start off by getting those absolute value bars by themselves. Clear out that 15 will subtract 15 from both sides. So on the left we've got five times the absolute value of X - Equals on the right hand side -15. Now it's divide both sides by five. To clear out that five on the left we've got the absolute value of x minus five equals on the right hand side negative three. But hold on a minute there let's step back for a second. What is absolute value? Well when we have the absolute value of something we're saying how far away it is from zero. What's inside those absolute value bars has a negative value, There's a negative value of X -5 and there's a positive value Of X -5. And the distance from both of those 20, is there absolute value? But this sentence says that that distance is native three and it is not possible to be a negative distance from zero. You can't be negative three units from zero. We recall from previous lessons that by its very definition the absolute value of a number must be greater than or equal to zero And because -3 is less than zero, this one has no solution. Well done, we'll catch you on the next one

Watch next