Given:
p: x-5=10
q: 4x + 1 = 61
which is the inverse of

If x – 5 ≠ 10, then 4x + 1 ≠ 61

Step-by-step explanation:

We have given:

p: x-5=10

q: 4x + 1 = 61

We have to find the inverse.

We are given p and q statements as:

p: x – 5 =10 ⇒ not p (~p) : x-5≠10

and q: 4 x + 1 = 61 ⇒ not q (~q) : 4 x +1≠61

Hence inverse of the p → q is:

 ~p → ~q

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!