Answer:
x > -9
Step-by-step explanation:
you want to multiply both sides of the inequality by 3/1 to make
-1/1 (5x+3) < 42/1
any expression divided by 1 remains the same
-1 (5x+3) < 42/1 ⇒ - (5x+3) < 42/1 ⇒ - (5x+3) < 42
Where there is a - in front of an expression in parentheses, change the sign of each term in the expression
-5x -3 <42
Then move the constant to the right-hand side and change its sign
-5 < 42 + 3
Add the numbers and you'll get
-5x < 45
Divide both sides of the inequality by -5 and flip the inequality sign and your answer would be
x > -9
