Solve and graph the solution for this i n e q u a l i t y _3× + 5 < 23 need help? Solving and graphing two steps i n e q u a l i t i e s with negative c o e f f i c e n t s step 1 subtract 5 from both sides of the i n e q u a l i t y step 2 divide both sides of the i n e q u a l i t y -3 step 3 blank step 4 draw closed circles at the solution
To solve the inequality -3× + 5 < 23, we can follow the steps you outlined:
Step 1: Subtract 5 from both sides of the inequality:
-3× + 5 - 5 < 23 - 5
-3× < 18
Step 2: Divide both sides of the inequality by -3. Remember to reverse the inequality symbol when dividing by a negative number:
(-3×)/-3 > 18/-3
× > -6
So the solution to the inequality is × > -6.
To graph this solution on a number line, we need to draw a closed circle at -6 since the inequality is strictly greater than, and then shade everything to the right of -6 to indicate all the values that satisfy the inequality.
Here is a rough sketch of the graph:
<----|--------------o=================================>
-infinity -6 +infinity
The line represents all the possible values of ×, with the closed circle at -6 and the shaded portion to the right indicating all values greater than -6.