Find the x- and y- intercepts of the line 3x-4y=12

see explanation

Step-by-step explanation:

Given

3x - 4y = 12

To find the x- intercept let y = 0 in the equation and solve for x

3x - 4(0) = 12

3x = 12 ( divide both sides by 3 )

x = 4 ← x- intercept ⇒ (4, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

3(0) - 4y = 12

- 4y = 12 ( divide both sides by - 4 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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step-by-step explanation: