High School

Work out the largest integer value that [tex]$x$[/tex] could take if

[tex]\[ x + 8 \ \textless \ 12 \][/tex]

Answer :

Certainly! Let's solve the inequality step-by-step:

We are given the inequality:

[tex]\[ x + 8 < 12 \][/tex]

We want to find the largest integer value that [tex]\( x \)[/tex] could take.

Step 1: Subtract 8 from both sides of the inequality to isolate [tex]\( x \)[/tex]:

[tex]\[ x + 8 - 8 < 12 - 8 \][/tex]

This simplifies to:

[tex]\[ x < 4 \][/tex]

Step 2: Determine the largest integer [tex]\( x \)[/tex] that satisfies this inequality.

Since [tex]\( x \)[/tex] must be less than 4, the largest integer value that [tex]\( x \)[/tex] can take is 3.

Thus, the largest integer value for [tex]\( x \)[/tex] is 3.