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Bunuel
If \(\frac{7 - 2y}{3} < -5\) then:

A. y < -4
B. y < 11
C. y > -4
D. y > 4
E. y > 11

RULE to Remember: When we multiply (or divide) by any negative value on both sides of inequation the inequation sign FLIPS

\(\frac{7 - 2y}{3} < -5\)
\(7 - 2y < -5*3\)
\(7 - 2y < -15\)
\(7 + 15 < 2y\)
i.e. y > 11

Answer: Option E

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Step 1: Given inequality
(7 - 2y) / 3 < -5

Step 2: Eliminate the denominator
Multiply both sides by 3:
7 - 2y < -15

Step 3: Isolate y
Subtract 7 from both sides:
-2y < -22

Step 4: Divide by -2 (reverse inequality sign)
y > 11

Thus, the correct answer is (E) y > 11.
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7-2y<-15
-2y<-15-7
-2y<-22
Multiply with (-1) on both sides
22<2y
11<y

Answer: E
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\(\frac{7 - 2y}{3} < -5\)
\(7 - 2y < -15\)
\( -2y < -15-7\)
\( -2y < -22\)
\( -y < -11\)
\( y > 11\)
Bunuel
If \(\frac{7 - 2y}{3} < -5\) then:

A. y < -4
B. y < 11
C. y > -4
D. y > 4
E. y > 11


­
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Given (7 - 2y)/3 < -5
Cross multiplying

7-2y<-15
-2y<-22

--> y>11 Option E
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Explanation

Step 1: Eliminate the fraction
Multiply both sides of the inequality by 3 to get rid of the denominator:
7 - 2y < -15

Step 2: Simplify
Subtract 7 from both sides:
-2y < -22

Step 3: Solve for y
Divide both sides by -2, but remember: dividing by a negative number reverses the inequality sign:
y > 11

Final Answer:
The correct option is (E) y > 11.
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