Question

Write and solve an inequality for the possible values of x

Answer 1

the answer for your question is x= -3/2

Answer 2

The inequality to find the possible values of $x$ is required.

The solution is $x>-1.5$

$AB=BC=DC=2x$

$AC=AB+BC=2x+2x\\\Rightarrow AC=4x$

In a triangle the sum of any two sides is greater than the third side

So,

$AC+DC>AD$

$\Rightarrow 4x+2x>4x-3$

$\Rightarrow 6x>4x-3$

$\Rightarrow 2x>-3$

$\Rightarrow x>-\dfrac{3}{2}$

$\Rightarrow x>-1.5$

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