Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $a$ .4a - 1 < 7

View step-by-step help

View step-by-step help

Solve two-step inequalities

Full solution

Q. Solve for

a

.

4a - 1 < 7

Isolate variable 'a': Start by isolating the variable 'a' on one side of the inequality. $\newline$ To do this, we will add $1$ to both sides of the inequality to cancel out the $-1$ on the left side. $\newline$ 4a - 1 + 1 < 7 + 1 $\newline$ This simplifies to: $\newline$ 4a < 8
Add $1$ to both sides: Now, we need to divide both sides of the inequality by $4$ to solve for ' $a$ '. $\newline$ \frac{4a}{4} < \frac{8}{4} $\newline$ This simplifies to: $\newline$ a < 2
Divide by $4$ : Check the solution to ensure that it makes sense. $\newline$ If we choose a value for ' $a$ ' that is less than $2$ , say $1$ , and plug it back into the original inequality, we get: $\newline$ 4(1) - 1 < 7 $\newline$ Which simplifies to: $\newline$ 4 - 1 < 7 $\newline$ 3 < 7 $\newline$ This is true, so our solution seems to be correct.

More problems from Solve two-step inequalities

Question

w

\newline

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

\newline

Posted 8 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 8 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