$7-$ If an object is placed $15\mathrm{.}0$ cm in front of a lens of focal length of $-10\mathrm{.}0$ cm $.$

$($a$)$ Is it a converging lens or a diverging lens. How did you figure it out?

$($b$)$ Find the image distance from the lens. Show your work with equation.

$($c$)$ state whether it is formed in front of the lens or at the back of the lens, describe how you figured it out?

$($d$)$ Describe the location of the image with respect to the lens, which is$,$ either it is less than focal length, more than $2f$ etc.

$($e$)$ State whether it's real or virtual? How did you figure it out?

$($f$)$ Find the magnification of the image with respect to the object. Show your work with equation.

$($g$)$ Is it an inverted image or right side upright image? Describe how you figured it out?

$($h$)$ Draw an estimated figure for it on the base of your solution, that shows lens, object $($as an arrow$)$ with estimated object distance from the lens, image $($as an

arrow$)$ with estimated image distance from the lens, and showing image's orientation and magnification. $,[-6\mathrm{.}0cm$;$0\mathrm{.}4]$