Answer:
y < -1/2
Step-by-step explanation:
Step 1 :
8
Simplify —
3
Equation at the end of step 1 :
4 8
— - (0 - (— • y)) < 0
3 3
Step 2 :
4
Simplify —
3
Equation at the end of step 2 :
4 -8y
— - ——— < 0
3 3
Step 3 :
Adding fractions which have a common denominator :
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 - (-8y) 8y + 4
————————— = ——————
3 3
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
8y + 4 = 4 • (2y + 1)
Equation at the end of step 4 :
4 • (2y + 1)
———————————— < 0
3
Step 5 :
5.1 Multiply both sides by 3
5.2 Divide both sides by 4
5.3 Divide both sides by 2
y+(1/2) < 0
Solve Basic Inequality :
5.4 Subtract 1/2 from both sides
y < -1/2
Inequality Plot :
5.5 Inequality plot for
2.667 X + 1.333 < 0
One solution was found :
y < -1/2
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