Question
Solve and graph the solution for this inequality.−3x+5≤23
Answers
GPT 3.5
To solve the inequality −3x+5≤23, we will isolate the variable x.
First, we can subtract 5 from both sides of the inequality:
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18
Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality symbol:
−3x / -3 ≥ 18 / -3
x ≥ -6
Therefore, the solution for the inequality is x ≥ -6.
To graph the solution on a number line, we start by plotting a closed circle at -6 (since it is inclusive). Then, we draw an arrow to the right to represent all the values greater than or equal to -6.
Here is the graph of the solution:
https://www.geogebra.org/calculator/qeguajjd
First, we can subtract 5 from both sides of the inequality:
−3x + 5 - 5 ≤ 23 - 5
−3x ≤ 18
Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality symbol:
−3x / -3 ≥ 18 / -3
x ≥ -6
Therefore, the solution for the inequality is x ≥ -6.
To graph the solution on a number line, we start by plotting a closed circle at -6 (since it is inclusive). Then, we draw an arrow to the right to represent all the values greater than or equal to -6.
Here is the graph of the solution:
https://www.geogebra.org/calculator/qeguajjd