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2 votes
Which graph shows the solution to the inequality -3x-7 <20?

>
-10
-5
0
5
10
O
A++
-10
-5
0
5
10
+
-10
-5
0
5
01
10
A++
-10
-5
0
5
10

Which graph shows the solution to the inequality -3x-7 <20? > -10 -5 0 5 10 O-example-1
User Crisp
by
3.8k points

1 Answer

3 votes

For the solution of the inequality -3x - 7 < 20 to be shown graphically, we need to solve it first and then graph the solution.


\begin{gathered} -3x-7<20 \\ C\text{ ollecting like terms}, \\ -3x<20+7 \\ -3x<27 \\ \text{Dividing both sides by -3, the inequality sign changes when multiplied or divided by a negative number.} \\ x>(27)/(-3) \\ x>-9 \end{gathered}

Hence, the graph that shows the solution x > -9 is the second graph from the options. Option B

User Amrith Raj Herle
by
3.1k points