Certainly! Let's solve the inequality step-by-step:
1. Start with the given inequality:
[tex]\[
3x - 4 < 2.6
\][/tex]
2. Isolate the term involving [tex]\(x\)[/tex]:
To do this, add 4 to both sides of the inequality:
[tex]\[
3x - 4 + 4 < 2.6 + 4
\][/tex]
Simplifying the terms, we get:
[tex]\[
3x < 6.6
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides of the inequality by 3:
[tex]\[
\frac{3x}{3} < \frac{6.6}{3}
\][/tex]
Simplifying the fraction, we obtain:
[tex]\[
x < 2.2
\][/tex]
Thus, the solution to the inequality [tex]\(3x - 4 < 2.6\)[/tex] is:
[tex]\[
x < 2.2
\][/tex]
