Answer:
x < 2/3
Explanation:
You want to solve the 2-step inequality 3x +7 < 9.
Two steps
If the coefficient of the variable is positive, the two steps to solving the inequality are identical to the two steps for solving a "2-step" equation.
Step 1:
Isolate the variable term by subtracting the unwanted constant with it.
3x +7 -7 < 9 -7
3x < 2
Step 2:
Divide by the coefficient of the variable.
3x/3 < 2/3
x < 2/3 . . . . . . the solution
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Additional comment
If the number you divide by (or multiply by) is negative, the sense of the inequality is reversed. For example, ...
-2x < 6
x > -3 . . . . . . divide by negative 2 and reverse the inequality symbol
This comes about because multiplying by a negative number changes the ordering.
-2 < -1
2 > 1
Some functions change ordering, too, so care must be taken when functions (or inverse functions) are applied to an inequality.