Solve for the variable and express the answer in set notation.
|5x - 4|= 11

Hey there!

ORIGINAL EQUATION

|5x - 4| = 11

Possible EQUATION #1

5x - 4 = 11

ADD 4 to BOTH SIDES

5x - 4 + 4 = 11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP: 11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = 11 + 4

SIMPLIFY IT!

5x = 15

DIVIDE 5 to BOTH SIDES

5x/5 = 15/5

CANCEL out: 5/5 because it gives you 1

KEEP: 15/5 because it help solve for the x-value

NEW EQUATION: x = 15/5

SIMPLIFY IT!

x = 3

Possible EQUATION #2

5x - 4 = -11

ADD 4 to BOTH SIDES

5x - 4 + 4 = -11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP. -11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = -11 + 4

SIMPLIFY IT!

5x = -7

DIVIDE 5 to BOTH SIDES

5x/5 = -7/5

CANCEL out: 5/5 because it gives you 1

KEEP: -7/5 because it help solve for the x-value

NEW EQUATION: x = -7/5

SIMPLIFY IT!

x = -7/5

ANSWER

x = 3 or x = -7/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.

i think its 7.6

if so your welcome