Work out the smallest integer value that $$ x $$ could take if $$ 6 x+3 \geq 27 $$

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UpStudy AI · Accepted Answer

1. Start with the inequality:
   $$
   6x + 3 \geq 27
   $$

2. Subtract $$3$$ from both sides:
   $$
   6x \geq 27 - 3 \quad \Rightarrow \quad 6x \geq 24
   $$

3. Divide both sides by $$6$$:
   $$
   x \geq \frac{24}{6} \quad \Rightarrow \quad x \geq 4
   $$

4. Since $$ x $$ must be an integer, the smallest integer value that $$ x $$ can take is:
   $$
   x = 4
   $$
The smallest integer value for $$ x $$ is 4.

Work out the smallest integer value that \( x \) could take if \[ 6 x+3 \geq 27 \]

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