Questions: 42/a < 9 a=2 a=1 a=3 a=7

Transcript text: \[ \frac{42}{a}<9 \] $a=2$ \[ a=1 \] $a=3$ \[ a=7 \]

Solution

Solve the inequality $\frac{42}{a} < 9$ for the given values of $a$.

Substitute $a = 2$ into the inequality.

$\frac{42}{2} < 9$ simplifies to $21 < 9$, which is false.

Substitute $a = 1$ into the inequality.

$\frac{42}{1} < 9$ simplifies to $42 < 9$, which is false.

Substitute $a = 3$ into the inequality.

$\frac{42}{3} < 9$ simplifies to $14 < 9$, which is false.

Substitute $a = 7$ into the inequality.

$\frac{42}{7} < 9$ simplifies to $6 < 9$, which is true.

$\boxed{a = 7}$ is the only value that satisfies the inequality.

$\boxed{a = 7}$ is the correct answer.

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