Question

State the value ofx after the statement if p(x) then x :=1 is executed, where p(x) is the statement “x>1,” if the value ofwhen this statement is reached is

(a) x =0

(b) x =1

(c) x =2

Short answer

When the hypothesis $\mathbf{x}\mathbf{>}\mathbf{1}$is satisfied, the value of xis changed to1otherwise, it remains the same. Forx=0, the value ofxremains same , forx=1 the value ofx is changed to1, and forx=2the value ofxis changed to1,

Step-by-step solution

Definition of the truth value  

A truth valuein a truth table indicates the truth (T or 1) or falsity (F or 0) of a specified proposition or statement.

To find the truth values of given propositions.

(a)x=0

Here, the value ofxis zero.

That means the hypothes $\mathrm{x}>1$is not satisfied .

After the execution of a statement, the value ofxremains same as x=0

(b)x=1

Here, the value ofxis one.

That means the hypothesx>1is satisfied .

After the execution of a statement, the value ofxis changed to1.

(c)x=2

Here, the value ofxis two.

That means the hypothesx>1is satisfied .

After the execution of a statement, the value ofxis changed to1.

Therefore, forx=0, the value ofxremains same , forx=1the value ofxis changed to1, and forx=2the value of xis changed to 1.