Solve the linear inequality 1.5−2.5x≤4.5

Mathematics

2 answers:

aleksklad [387]3 years ago

8 0

1.5-2.5x≤4.5
-1.5 -1.5

-2.5x≤3
------ ---
-2.5 -2.5

x≥ -1.2

PilotLPTM [1.2K]3 years ago

3 0

InequalitiesNumbersPercentagesScientific NotationCalculusDifferentiateIntegrateMatricesArithmeticInverseDeterminant
Quickmath step-by-step math solverExpressionEquationInequalityContact usSimplifyFactorExpandGCFLCMEnter expression, e.g. (x^2-y^2)/(x-y)Sample Problem1.5−2.5x ≤ 4.5SimplifySimplify1.5−2.5x≤4.51510−2510x≤4510

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The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b

PSYCHO15rus [73]

A-b=21
5a-2b=18

We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)

a = 21+b

Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29

Plug back into the first: a=21+b
a = 21 - 29
a = -8

Option D

6 0

3 years ago

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pantera1 [17]

Answer:

A. -1/8x + 3/16

Step-by-step explanation:

-1/2(1/4x - 3/8)

Distribute the -1/2 into both the terms in the equation.

-1/2 * 1/4x = -1/8x

-1/2 * -3/8 = 3/16

Now combine both the expressions.