<em><u>The inequalities that require flipping the sign are:</u></em>
-5x - 10 > 5
<em><u>Solution:</u></em>
Let us the inequalities one by one
You can perform on operations on both sides of inequality, and have its truth value unchanged
But if we multiply or divide by a negative number , we must flip the sign
<h3>option 1) </h3>
<em><u>-5x - 10 > 5</u></em>
Move -10 from L.H.S to R.H.S
-5x > 5 + 10
-5x > 15
Divide the above expression by 5
Divide the above inequality by -1, so we must flip the sign
x < -3
<h3>option 2)</h3>
Move the constant term from L.H.S to R.H.S
Divide the above inequality by 7
This does not required flipping the symbol
<h3>option 3</h3>
Move the constant term from L.H.S to R.H.S
Multiply both the sides by 5
This does not required flipping the symbol
<h3>option 4</h3>
Move the constant term from L.H.S to R.H.S
This does not required flipping the symbol
<h3>
option 5</h3>
Move the constant term from L.H.S to R.H.S
Multiply both the sides by -7, so we must flip the sign
Thus this requires flipping the sign