khan academy absolute value inequalities

So if x equals negative four, we're going to say theĪbsolute value of negative four is greater than five. You to pause the video and try to work through So x equals six and x equals negative two both satisfy the inequality. Is six less than seven? Yeah, sure, six is less than seven. Six is once again, just six, Six is six to the right of zero. We're going to say theĪbsolute value of six, is that less than seven? Well the absolute value of Two is going to be less than the absolute value of negative seven. So this, this is x equals negative two, satisfies our inequality. Is positive two less than seven? Sure, two is less than seven. What's the absolute value of negative two? Well it's going to be positive two. Of negative two needs to be less than seven. Now x equals negative two? Well, wherever we see an x, So that, x equals negative eight does not satisfy the inequality. Value of negative eight less than seven? Is that true? Well, the absolute value of negative eight is just going to be eight, so is eight less than seven? No, it's greater than seven. So if x equals negative eight, then wherever we see the x we So let's see if its trueįor x equals negative eight. Would be that the absolute value of x needs So this right over here,Ībsolute value of negative seven is just going to be seven. Number is always going to be the non-negative version of it. Seven to zero is seven, or another way to think about it is the absolute value of any Negative seven is how far from zero is negative seven? Well, it's seven to the left. Out at you and encourage you to try these on your ownīefore I work through them, what might jump out at you is that we know what the absolute value

And before I even try out the x values, let's see if we can Which of these x values would make this true. Value of x is less than the absolute value of negative seven. This first one in green, here on the left. Video is see which of these potential values for x actually

Inequalities here that involve absolute values and thenīelow them we have potential values for x, and what I want to do in this

Khan academy absolute value inequalities