Question

Solve -3x + 1 > 4 and describe the graph of the solution.

x < -1; Open circle on -1, shading to the left

x < -1; Open circle on -1, shading to the right

x > -1; Open circle on -1, shading to the left

x > -1; Open circle on -1, shading to the right

Answer 1

first solve for x as you would if it had been an = instead of >

Answer 2

so -3x + 1 = 4 minus 1 from bot sides
- 1 -1
-3x = 3 divide both sides by -3
/-3 /-3
x = -1

it would have been the same process for
-3x + 1 > 4
-1 -1
-3x > 3 but know that when you divide by a negative for
/-3 /-3 inequalities, the sign flips
x < -1

which means that x is less than -1
less than would mean to the left, or going in the negative direction
and because there was no "or equal to" part, it is an open hole at -1

If you don't understand any part of this, feel free to ask :)

Answer 3

So its shaded to the left?

Answer 4

yep :)