negative three times a number increased by seven is less than negative eleven
-3(x+7) < -11
sounds like an inequality like what's depicted above
again replace the number with a variable such as x and think about how the operations are correlated with the words
now just solve to get x by itself, remember when you divide by a negative the sign will switch sides when it comes to inequalities
hope this helps
To solve this inequality, let's break it down step by step.
Let's represent the unknown number as "x."
The given inequality is:
-3x + 7 < -11
To simplify this inequality, we need to isolate the variable "x" on one side of the inequality sign.
Step 1: Subtract 7 from both sides of the inequality to move the constant term to the right side:
-3x < -11 - 7
-3x < -18
Step 2: Divide both sides of the inequality by -3. However, when dividing by a negative number, we need to reverse the inequality sign:
x > (-18) / (-3)
x > 6
The simplified inequality is x > 6, which means any number greater than 6 will satisfy the inequality.
So, the answer to the inequality "negative three times a number increased by seven is less than negative eleven" is x > 6.