Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 21, 2023

Solve the linear inequality $-3x + 8 > 11$ to find the values of $x$ that satisfy the inequality.

STEP 1

Assumptions1. The inequality is $-3x +8 >11$ . We are solving for $x$

STEP 2

First, we need to isolate the term with $x$ on one side of the inequality. We can do this by subtracting8 from both sides of the inequality.
$-x +8 -8 >11 -8$

STEP 3

implify the inequality.
$-3x >11 -8$ $-3x >3$

STEP 4

Now, we need to isolate $x$ by dividing both sides of the inequality by $-3$ . Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
$-3x / -3 <3 / -3$

STEP 5

implify the inequality.
$x <3 / -3$ $x < -1$ So, the solution to the inequality $-3x +8 >11$ is $x < -1$ .

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