Solve and graph the following inequality: 5a−17<−62

Answer 1

To solve the inequality 5a - 17 < -62, we first need to isolate the variable "a" by adding 17 to both sides of the inequality.

5a - 17 + 17 < -62 + 17
5a < -45

Next, we divide both sides by 5 to solve for "a".

a < -45/5
a < -9

So, the solution to the inequality is a < -9.

To graph this inequality on a number line, we plot an open circle at -9 and shade to the left to indicate that "a" is less than -9.

[Shaded part is to the left of -9 with an open circle at -9]

Answer 2

Which expression is equivalent to −6(x−3) ?(1 point) Responses −6x−3 negative 6 x minus 3 −6x+3 negative 6 x plus 3 −6x−18 negative 6 x minus 18 −6x+18

Answer 3

The expression −6(x−3) can be simplified by distributing the -6 to both terms inside the parentheses:

−6(x−3) = −6*x + (-6)*(-3) = -6x + 18

So, the expression that is equivalent to −6(x−3) is -6x + 18.