Given: p: x – 5 =10 q: 4x + 1 = 61 which is the inverse of p → q? if x – 5 ≠ 10, then 4x + 1 ≠ 61. if 4x + 1 ≠ 61, then x – 5 ≠ 10. if x – 5 = 10, then 4x + 1 = 61. if 4x + 1 = 61, then x – 5 = 10.

The inverse statement is:

If x – 5 ≠ 10, then 4x + 1 ≠ 61

Step-by-step explanation:

Suppose a conditional statement of the form "If p then q" is given. The inverse is "If ~p then ~q."

i.e. p → q

then not p → not q.

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

Also we are given  p → q.

Hence inverse of the statement is:

~p → ~q

i.e.  If x – 5 ≠ 10, then 4x + 1 ≠ 61 is the inverse statement.

step-by-step explanation:

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step-by-step explanation: