To solve the inequality [tex]\(3x + 2.4 \geq 3.0\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the inequality. Here are the step-by-step details:
1. Subtract 2.4 from both sides of the inequality:
[tex]\(3x + 2.4 \geq 3.0\)[/tex]
Subtracting 2.4 from both sides gives:
[tex]\(3x + 2.4 - 2.4 \geq 3.0 - 2.4\)[/tex]
Simplifying this, we get:
[tex]\(3x \geq 0.6\)[/tex]
2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\(\frac{3x}{3} \geq \frac{0.6}{3}\)[/tex]
Simplifying this, we get:
[tex]\(x \geq 0.2\)[/tex]
Therefore, the solution to the inequality [tex]\(3x + 2.4 \geq 3.0\)[/tex] is:
[tex]\[ x \geq 0.2 \][/tex]
Hence, the correct answer is [tex]\( x \geq 0.2 \)[/tex].
