Respuesta :

Answer:

The largest two consecutive odd integers are

19 and 21

Step-by-step explanation:

Let

x ----> the first consecutive odd number

x+2 ---> the second consecutive odd number

we know that

The inequality that represent this situation is

[tex]x+(x+2)\leq 46[/tex]

solve for x

[tex]2x+2\leq 46[/tex]

[tex]2x\leq 46-2[/tex]

[tex]2x\leq 44[/tex]

[tex]x\leq 22[/tex]

therefore

The largest two consecutive odd integers are

19 and 21