Question

construct:converse,inverse and contrapositive of direct statement if:4x–2=10 then x=3.
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Answer 1

Answer:

3

Step-by-step explanation:

4x-2 = 10

4x=10+2

4x=12

x=3

Answer 2

The converse of the conditional statement is “If Q then P.”

The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.”

Given:

Direct statement: $4x-2=10$ then $x=3$.

Converse Statement: If $4x-2=10$ then $x=3.$

Inverse Statement: If $x\neq 3$ then$4x-2\neq 10$.

Contrapositive Statement: If$4x-2\neq 10$ then$x\neq 3$