$\"\"$

The inequality is $\"\"$ .

Apply multiplication property of inequality: Multiply each side by 7.

$\"\"$ $\"\"$

$\"\"$ (Cancel common terms)

$\"\"$ (Multiply: $\"\"$ )

$\"\"$ (Multiply each side by negative one and flip the symbol)

$\"\"$ (Product of two same signs is positive)

Graph the solution set on a number line

$\"\"$

Check:

To check, substitute $\"\"$ 35, a number greater than $\"\"$ 42 in $\"\"$ .

$\"\"$

$\"\"$ (Divide: $\"\"$ ) $\"\"$

The inequality solution set is $\"\"$ .