Answer:
(∞, 3]
Step-by-step explanation:
Given the inequality 4x−1<11
We are to find the solution set;
4x−1<11
Add 1 to both sides
4x−1+1<11+1
4x < 12
Divide both sides by 4
4x/4 = 12/4
x < 3
Hence the solution set of the inequality is (∞, 3]
Answer:
x > 5.
Step-by-step explanation:
1 / 3
Let’s start by subtracting \blue{14}14start color #6495ed, 14, end color #6495ed from both sides of the inequality:
\qquad\begin{aligned} 14\blue{-14} - 3x &< -1 \blue{-14}\\ - 3x &< -15 \\ \end{aligned}
14−14−3x
−3x
<−1−14
<−15
Hint #22 / 3
Next, let's divide both sides by \green{-3}−3start color #28ae7b, minus, 3, end color #28ae7b. When you divide an inequality by a negative number, the inequality sign must be \text{\pink{reversed}}reversedstart text, start color #ff00af, r, e, v, e, r, s, e, d, end color #ff00af, end text:
\qquad\begin{aligned} - 3x& < -15\\ \\ \dfrac{-3x}{\green{-3}} &\pink{>} \dfrac{-15}{\green{-3}} \\ \\ x &\pink{>} 5\\ \end{aligned}
−3x
−3
−3x
x
<−15
>
−3
−15
>5
Hint #33 / 3
The solution set of the inequality is:
\qquad x > 5.
x>5.
