Solve: -1/3 (5x +3) < 14

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

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.