Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Solve for d. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -38 d-57 >= -19 d+76$

Solve for $d$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $-38d-57 \geq -19d+76$

View step-by-step help

View step-by-step help

Solve multi-step inequalities

Full solution

Q. Solve for

d

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-38d-57 \geq -19d+76

Isolate variable d: First, we want to isolate the variable $d$ on one side of the inequality. To do this, we can start by adding $38d$ to both sides to move all the $d$ terms to one side. $\newline$ $-38d - 57 + 38d \geq -19d + 76 + 38d$ $\newline$ This simplifies to: $\newline$ $-57 \geq 19d + 76$
Add and simplify: Next, we subtract $76$ from both sides to move the constant terms to the other side. $\newline$ $-57 - 76 \geq 19d + 76 - 76$ $\newline$ This simplifies to: $\newline$ $-133 \geq 19d$
Subtract constant term: Now, we divide both sides by $19$ to solve for $d$ . Since we are dividing by a positive number, the direction of the inequality does not change. $\newline$ $-133 / 19 \geq 19d / 19$ $\newline$ This simplifies to: $\newline$ $-7 \geq d \text{ or } d \leq -7$

More problems from Solve multi-step inequalities

Question

w

\newline

\frac{w}{-1} + 7 > 9

\newline

Posted 9 months ago

Question

u

\newline

6.4u < 3.84 + 6.8u

\newline

\newline

Write your answer with

u

first, followed by an inequality symbol.

\newline

\newline

Posted 9 months ago

Question

t

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

12t - 2 < -5t + 36

Posted 8 months ago

Question

m

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

8m + 95 < -87m + 5

Posted 10 months ago

Question

r

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

35r-21 < -35r+19

Posted 10 months ago

Question

x

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

54x + 64 \geq 49x + 59

Posted 10 months ago

Question

w

.\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

53w+13 < 56w+16

Posted 10 months ago

Question

p

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-7p - 4 > 26p - 94

Posted 10 months ago

Question

d

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-23d + 81 \leq -98d + 1

Posted 10 months ago

Question

b

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

30b + 53 \geq 18b - 83

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant