Which number line represents the solution to the inequality –4w + 7 < 75 ?

3 answers

To solve the inequality –4w + 7 < 75, we need to isolate the variable w.
First, subtract 7 from both sides:
–4w < 68
Next, divide both sides by -4.
Remember that dividing by a negative number requires us to reverse the inequality sign.
w > -17
This inequality states that w is greater than -17.
To represent this solution on a number line, we can start by marking -17 with an open circle, to indicate that -17 is not included in the solution. Then, we can draw an arrow to the right to represent all values greater than -17.
So, the number line that represents the solution to the inequality –4w + 7 < 75 is:
<=========o======(>)
whats the answer
The answer is the number line that represents the solution to the inequality –4w + 7 < 75. This number line is <=========o======(>).
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