Solve for r. vert rvert -1=5 Write your answers as integers or as proper or improper fr r= square or r= square

To solve the equation $\vert r\vert -1=5$, we first isolate the absolute value term by adding 1 to both sides of the equation:<br /><br />$\vert r\vert - 1 + 1 = 5 + 1$<br /><br />This simplifies to:<br /><br />$\vert r\vert = 6$<br /><br />The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, $\vert r\vert = 6$ means that $r$ is either 6 units to the right of zero (positive) or 6 units to the left of zero (negative). This gives us two possible solutions:<br /><br />$r = 6$ or $r = -6$<br /><br />So, the solutions are $r = 6$ or $r = -6$.